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Finding the Fourth Proportional to 3,354.72, 4,616.64 and 3,257.76

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Solution

The fourth proportional to 3,354.72, 4,616.64 and 3,257.76 is: 4,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.72 : 4,616.64 = 3,257.76 : x
  2. Step 2: Convert to fraction form
    3,354.72/4,616.64 = 3,257.76/x
  3. Step 3: Cross multiply
    3,354.72x = 4,616.64 × 3,257.76
  4. Step 4: Simplify right side
    3,354.72x = 15,039,905.13
  5. Step 5: Solve for x
    x = 15,039,905.13/3,354.72
  6. Step 6: Final answer
    x = 4,483.21

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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.