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Finding the Fourth Proportional to 5,149.68, 7,752.68 and 3,516.57

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Solution

The fourth proportional to 5,149.68, 7,752.68 and 3,516.57 is: 5,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.68 : 7,752.68 = 3,516.57 : x
  2. Step 2: Convert to fraction form
    5,149.68/7,752.68 = 3,516.57/x
  3. Step 3: Cross multiply
    5,149.68x = 7,752.68 × 3,516.57
  4. Step 4: Simplify right side
    5,149.68x = 27,262,824.32
  5. Step 5: Solve for x
    x = 27,262,824.32/5,149.68
  6. Step 6: Final answer
    x = 5,294.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.