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Finding the Fourth Proportional to 3,746.45, 5,614.31 and 2,751.45

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Solution

The fourth proportional to 3,746.45, 5,614.31 and 2,751.45 is: 4,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.45 : 5,614.31 = 2,751.45 : x
  2. Step 2: Convert to fraction form
    3,746.45/5,614.31 = 2,751.45/x
  3. Step 3: Cross multiply
    3,746.45x = 5,614.31 × 2,751.45
  4. Step 4: Simplify right side
    3,746.45x = 15,447,479.49
  5. Step 5: Solve for x
    x = 15,447,479.49/3,746.45
  6. Step 6: Final answer
    x = 4,123.24

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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.