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Finding the Fourth Proportional to 4,758.59, 6,562.49 and 4,086.17

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Solution

The fourth proportional to 4,758.59, 6,562.49 and 4,086.17 is: 5,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.59 : 6,562.49 = 4,086.17 : x
  2. Step 2: Convert to fraction form
    4,758.59/6,562.49 = 4,086.17/x
  3. Step 3: Cross multiply
    4,758.59x = 6,562.49 × 4,086.17
  4. Step 4: Simplify right side
    4,758.59x = 26,815,416.95
  5. Step 5: Solve for x
    x = 26,815,416.95/4,758.59
  6. Step 6: Final answer
    x = 5,635.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.