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Finding the Fourth Proportional to 4,522.56, 6,776.64 and 3,932.64

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Solution

The fourth proportional to 4,522.56, 6,776.64 and 3,932.64 is: 5,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.56 : 6,776.64 = 3,932.64 : x
  2. Step 2: Convert to fraction form
    4,522.56/6,776.64 = 3,932.64/x
  3. Step 3: Cross multiply
    4,522.56x = 6,776.64 × 3,932.64
  4. Step 4: Simplify right side
    4,522.56x = 26,650,085.53
  5. Step 5: Solve for x
    x = 26,650,085.53/4,522.56
  6. Step 6: Final answer
    x = 5,892.70

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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.