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Finding the Fourth Proportional to 5,294.52, 7,941.78 and 1,398.78

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Solution

The fourth proportional to 5,294.52, 7,941.78 and 1,398.78 is: 2,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.52 : 7,941.78 = 1,398.78 : x
  2. Step 2: Convert to fraction form
    5,294.52/7,941.78 = 1,398.78/x
  3. Step 3: Cross multiply
    5,294.52x = 7,941.78 × 1,398.78
  4. Step 4: Simplify right side
    5,294.52x = 11,108,803.03
  5. Step 5: Solve for x
    x = 11,108,803.03/5,294.52
  6. Step 6: Final answer
    x = 2,098.17

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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.