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Finding the Fourth Proportional to 3,717.96, 5,572.32 and 3,254.64

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Solution

The fourth proportional to 3,717.96, 5,572.32 and 3,254.64 is: 4,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.96 : 5,572.32 = 3,254.64 : x
  2. Step 2: Convert to fraction form
    3,717.96/5,572.32 = 3,254.64/x
  3. Step 3: Cross multiply
    3,717.96x = 5,572.32 × 3,254.64
  4. Step 4: Simplify right side
    3,717.96x = 18,135,895.56
  5. Step 5: Solve for x
    x = 18,135,895.56/3,717.96
  6. Step 6: Final answer
    x = 4,877.92

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Why These Related Problems?

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