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Finding the Fourth Proportional to 5,354.92, 7,390.38 and 2,997.28

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Solution

The fourth proportional to 5,354.92, 7,390.38 and 2,997.28 is: 4,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.92 : 7,390.38 = 2,997.28 : x
  2. Step 2: Convert to fraction form
    5,354.92/7,390.38 = 2,997.28/x
  3. Step 3: Cross multiply
    5,354.92x = 7,390.38 × 2,997.28
  4. Step 4: Simplify right side
    5,354.92x = 22,151,038.17
  5. Step 5: Solve for x
    x = 22,151,038.17/5,354.92
  6. Step 6: Final answer
    x = 4,136.58

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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.