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Finding the Fourth Proportional to 3,613.70, 5,420.74 and 1,148.71

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Solution

The fourth proportional to 3,613.70, 5,420.74 and 1,148.71 is: 1,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.70 : 5,420.74 = 1,148.71 : x
  2. Step 2: Convert to fraction form
    3,613.70/5,420.74 = 1,148.71/x
  3. Step 3: Cross multiply
    3,613.70x = 5,420.74 × 1,148.71
  4. Step 4: Simplify right side
    3,613.70x = 6,226,858.25
  5. Step 5: Solve for x
    x = 6,226,858.25/3,613.70
  6. Step 6: Final answer
    x = 1,723.13

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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.