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Finding the Fourth Proportional to 5,292.49, 7,287 and 4,494.14

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Solution

The fourth proportional to 5,292.49, 7,287 and 4,494.14 is: 6,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.49 : 7,287 = 4,494.14 : x
  2. Step 2: Convert to fraction form
    5,292.49/7,287 = 4,494.14/x
  3. Step 3: Cross multiply
    5,292.49x = 7,287 × 4,494.14
  4. Step 4: Simplify right side
    5,292.49x = 32,748,798.18
  5. Step 5: Solve for x
    x = 32,748,798.18/5,292.49
  6. Step 6: Final answer
    x = 6,187.79

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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.