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Finding the Fourth Proportional to 3,494,649.09, 4,822,569.72 and 1,924,750.76

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Solution

The fourth proportional to 3,494,649.09, 4,822,569.72 and 1,924,750.76 is: 2,656,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494,649.09 : 4,822,569.72 = 1,924,750.76 : x
  2. Step 2: Convert to fraction form
    3,494,649.09/4,822,569.72 = 1,924,750.76/x
  3. Step 3: Cross multiply
    3,494,649.09x = 4,822,569.72 × 1,924,750.76
  4. Step 4: Simplify right side
    3,494,649.09x = 9,282,244,709,610.14
  5. Step 5: Solve for x
    x = 9,282,244,709,610.14/3,494,649.09
  6. Step 6: Final answer
    x = 2,656,130.69

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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.