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Finding the Fourth Proportional to 5,038.32, 7,553.16 and 2,982

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Solution

The fourth proportional to 5,038.32, 7,553.16 and 2,982 is: 4,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.32 : 7,553.16 = 2,982 : x
  2. Step 2: Convert to fraction form
    5,038.32/7,553.16 = 2,982/x
  3. Step 3: Cross multiply
    5,038.32x = 7,553.16 × 2,982
  4. Step 4: Simplify right side
    5,038.32x = 22,523,523.12
  5. Step 5: Solve for x
    x = 22,523,523.12/5,038.32
  6. Step 6: Final answer
    x = 4,470.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.