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Finding the Fourth Proportional to 5,773.13, 7,966.92 and 3,678.47

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Solution

The fourth proportional to 5,773.13, 7,966.92 and 3,678.47 is: 5,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.13 : 7,966.92 = 3,678.47 : x
  2. Step 2: Convert to fraction form
    5,773.13/7,966.92 = 3,678.47/x
  3. Step 3: Cross multiply
    5,773.13x = 7,966.92 × 3,678.47
  4. Step 4: Simplify right side
    5,773.13x = 29,306,036.38
  5. Step 5: Solve for x
    x = 29,306,036.38/5,773.13
  6. Step 6: Final answer
    x = 5,076.29

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1.5x scale

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.