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Finding the Fourth Proportional to 3,717.56, 5,575.80 and 2,256.32

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Solution

The fourth proportional to 3,717.56, 5,575.80 and 2,256.32 is: 3,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.56 : 5,575.80 = 2,256.32 : x
  2. Step 2: Convert to fraction form
    3,717.56/5,575.80 = 2,256.32/x
  3. Step 3: Cross multiply
    3,717.56x = 5,575.80 × 2,256.32
  4. Step 4: Simplify right side
    3,717.56x = 12,580,789.06
  5. Step 5: Solve for x
    x = 12,580,789.06/3,717.56
  6. Step 6: Final answer
    x = 3,384.15

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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.