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Finding the Fourth Proportional to 5,766,902.33, 7,958,237.64 and 3,153,414.76

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Solution

The fourth proportional to 5,766,902.33, 7,958,237.64 and 3,153,414.76 is: 4,351,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766,902.33 : 7,958,237.64 = 3,153,414.76 : x
  2. Step 2: Convert to fraction form
    5,766,902.33/7,958,237.64 = 3,153,414.76/x
  3. Step 3: Cross multiply
    5,766,902.33x = 7,958,237.64 × 3,153,414.76
  4. Step 4: Simplify right side
    5,766,902.33x = 25,095,623,997,772.38
  5. Step 5: Solve for x
    x = 25,095,623,997,772.38/5,766,902.33
  6. Step 6: Final answer
    x = 4,351,664.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.