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Finding the Fourth Proportional to 3,737.54, 5,156.88 and 2,245.16

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Solution

The fourth proportional to 3,737.54, 5,156.88 and 2,245.16 is: 3,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.54 : 5,156.88 = 2,245.16 : x
  2. Step 2: Convert to fraction form
    3,737.54/5,156.88 = 2,245.16/x
  3. Step 3: Cross multiply
    3,737.54x = 5,156.88 × 2,245.16
  4. Step 4: Simplify right side
    3,737.54x = 11,578,020.70
  5. Step 5: Solve for x
    x = 11,578,020.70/3,737.54
  6. Step 6: Final answer
    x = 3,097.77

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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.