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Finding the Fourth Proportional to 4,191.68, 6,314.72 and 3,987.92

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Solution

The fourth proportional to 4,191.68, 6,314.72 and 3,987.92 is: 6,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.68 : 6,314.72 = 3,987.92 : x
  2. Step 2: Convert to fraction form
    4,191.68/6,314.72 = 3,987.92/x
  3. Step 3: Cross multiply
    4,191.68x = 6,314.72 × 3,987.92
  4. Step 4: Simplify right side
    4,191.68x = 25,182,598.18
  5. Step 5: Solve for x
    x = 25,182,598.18/4,191.68
  6. Step 6: Final answer
    x = 6,007.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.