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Finding the Fourth Proportional to 5,887.68, 8,812.32 and 3,697.92

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Solution

The fourth proportional to 5,887.68, 8,812.32 and 3,697.92 is: 5,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.68 : 8,812.32 = 3,697.92 : x
  2. Step 2: Convert to fraction form
    5,887.68/8,812.32 = 3,697.92/x
  3. Step 3: Cross multiply
    5,887.68x = 8,812.32 × 3,697.92
  4. Step 4: Simplify right side
    5,887.68x = 32,587,254.37
  5. Step 5: Solve for x
    x = 32,587,254.37/5,887.68
  6. Step 6: Final answer
    x = 5,534.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.