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Finding the Fourth Proportional to 5,086.56, 7,002.54 and 4,561.68

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Solution

The fourth proportional to 5,086.56, 7,002.54 and 4,561.68 is: 6,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.56 : 7,002.54 = 4,561.68 : x
  2. Step 2: Convert to fraction form
    5,086.56/7,002.54 = 4,561.68/x
  3. Step 3: Cross multiply
    5,086.56x = 7,002.54 × 4,561.68
  4. Step 4: Simplify right side
    5,086.56x = 31,943,346.67
  5. Step 5: Solve for x
    x = 31,943,346.67/5,086.56
  6. Step 6: Final answer
    x = 6,279.95

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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.