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Finding the Fourth Proportional to 3,737.40, 5,607.08 and 1,105

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Solution

The fourth proportional to 3,737.40, 5,607.08 and 1,105 is: 1,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.40 : 5,607.08 = 1,105 : x
  2. Step 2: Convert to fraction form
    3,737.40/5,607.08 = 1,105/x
  3. Step 3: Cross multiply
    3,737.40x = 5,607.08 × 1,105
  4. Step 4: Simplify right side
    3,737.40x = 6,195,823.40
  5. Step 5: Solve for x
    x = 6,195,823.40/3,737.40
  6. Step 6: Final answer
    x = 1,657.79

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