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Finding the Fourth Proportional to 3,384.72, 4,677 and 2,640.56

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Solution

The fourth proportional to 3,384.72, 4,677 and 2,640.56 is: 3,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.72 : 4,677 = 2,640.56 : x
  2. Step 2: Convert to fraction form
    3,384.72/4,677 = 2,640.56/x
  3. Step 3: Cross multiply
    3,384.72x = 4,677 × 2,640.56
  4. Step 4: Simplify right side
    3,384.72x = 12,349,899.12
  5. Step 5: Solve for x
    x = 12,349,899.12/3,384.72
  6. Step 6: Final answer
    x = 3,648.72

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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.