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Finding the Fourth Proportional to 3,737.74, 5,607.50 and 2,095.42

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Solution

The fourth proportional to 3,737.74, 5,607.50 and 2,095.42 is: 3,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.74 : 5,607.50 = 2,095.42 : x
  2. Step 2: Convert to fraction form
    3,737.74/5,607.50 = 2,095.42/x
  3. Step 3: Cross multiply
    3,737.74x = 5,607.50 × 2,095.42
  4. Step 4: Simplify right side
    3,737.74x = 11,750,067.65
  5. Step 5: Solve for x
    x = 11,750,067.65/3,737.74
  6. Step 6: Final answer
    x = 3,143.63

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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.