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Finding the Fourth Proportional to 3,736.72, 5,155.59 and 2,411.20

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Solution

The fourth proportional to 3,736.72, 5,155.59 and 2,411.20 is: 3,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.72 : 5,155.59 = 2,411.20 : x
  2. Step 2: Convert to fraction form
    3,736.72/5,155.59 = 2,411.20/x
  3. Step 3: Cross multiply
    3,736.72x = 5,155.59 × 2,411.20
  4. Step 4: Simplify right side
    3,736.72x = 12,431,158.61
  5. Step 5: Solve for x
    x = 12,431,158.61/3,736.72
  6. Step 6: Final answer
    x = 3,326.76

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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.