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Finding the Fourth Proportional to 5,295.38, 7,307.42 and 2,905.47

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Solution

The fourth proportional to 5,295.38, 7,307.42 and 2,905.47 is: 4,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.38 : 7,307.42 = 2,905.47 : x
  2. Step 2: Convert to fraction form
    5,295.38/7,307.42 = 2,905.47/x
  3. Step 3: Cross multiply
    5,295.38x = 7,307.42 × 2,905.47
  4. Step 4: Simplify right side
    5,295.38x = 21,231,475.06
  5. Step 5: Solve for x
    x = 21,231,475.06/5,295.38
  6. Step 6: Final answer
    x = 4,009.44

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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.