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Finding the Fourth Proportional to 5,294.28, 7,306.62 and 2,937

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Solution

The fourth proportional to 5,294.28, 7,306.62 and 2,937 is: 4,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.28 : 7,306.62 = 2,937 : x
  2. Step 2: Convert to fraction form
    5,294.28/7,306.62 = 2,937/x
  3. Step 3: Cross multiply
    5,294.28x = 7,306.62 × 2,937
  4. Step 4: Simplify right side
    5,294.28x = 21,459,542.94
  5. Step 5: Solve for x
    x = 21,459,542.94/5,294.28
  6. Step 6: Final answer
    x = 4,053.34

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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.