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Finding the Fourth Proportional to 3,707.57, 5,562.09 and 1,516.47

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Solution

The fourth proportional to 3,707.57, 5,562.09 and 1,516.47 is: 2,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.57 : 5,562.09 = 1,516.47 : x
  2. Step 2: Convert to fraction form
    3,707.57/5,562.09 = 1,516.47/x
  3. Step 3: Cross multiply
    3,707.57x = 5,562.09 × 1,516.47
  4. Step 4: Simplify right side
    3,707.57x = 8,434,742.62
  5. Step 5: Solve for x
    x = 8,434,742.62/3,707.57
  6. Step 6: Final answer
    x = 2,275.01

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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.