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Finding the Fourth Proportional to 3,731.60, 5,597.40 and 3,148.40

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Solution

The fourth proportional to 3,731.60, 5,597.40 and 3,148.40 is: 4,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.60 : 5,597.40 = 3,148.40 : x
  2. Step 2: Convert to fraction form
    3,731.60/5,597.40 = 3,148.40/x
  3. Step 3: Cross multiply
    3,731.60x = 5,597.40 × 3,148.40
  4. Step 4: Simplify right side
    3,731.60x = 17,622,854.16
  5. Step 5: Solve for x
    x = 17,622,854.16/3,731.60
  6. Step 6: Final answer
    x = 4,722.60

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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.