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Finding the Fourth Proportional to 6,586.96, 9,088.84 and 3,791.92

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Solution

The fourth proportional to 6,586.96, 9,088.84 and 3,791.92 is: 5,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.96 : 9,088.84 = 3,791.92 : x
  2. Step 2: Convert to fraction form
    6,586.96/9,088.84 = 3,791.92/x
  3. Step 3: Cross multiply
    6,586.96x = 9,088.84 × 3,791.92
  4. Step 4: Simplify right side
    6,586.96x = 34,464,154.17
  5. Step 5: Solve for x
    x = 34,464,154.17/6,586.96
  6. Step 6: Final answer
    x = 5,232.18

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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.