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Finding the Fourth Proportional to 3,736.47, 5,604.71 and 1,542.79

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Solution

The fourth proportional to 3,736.47, 5,604.71 and 1,542.79 is: 2,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.47 : 5,604.71 = 1,542.79 : x
  2. Step 2: Convert to fraction form
    3,736.47/5,604.71 = 1,542.79/x
  3. Step 3: Cross multiply
    3,736.47x = 5,604.71 × 1,542.79
  4. Step 4: Simplify right side
    3,736.47x = 8,646,890.54
  5. Step 5: Solve for x
    x = 8,646,890.54/3,736.47
  6. Step 6: Final answer
    x = 2,314.19

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1.5x scale

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.