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Finding the Fourth Proportional to 3,707.50, 5,562.36 and 2,147.14

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Solution

The fourth proportional to 3,707.50, 5,562.36 and 2,147.14 is: 3,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.50 : 5,562.36 = 2,147.14 : x
  2. Step 2: Convert to fraction form
    3,707.50/5,562.36 = 2,147.14/x
  3. Step 3: Cross multiply
    3,707.50x = 5,562.36 × 2,147.14
  4. Step 4: Simplify right side
    3,707.50x = 11,943,165.65
  5. Step 5: Solve for x
    x = 11,943,165.65/3,707.50
  6. Step 6: Final answer
    x = 3,221.35

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Why These Related Problems?

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