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Finding the Fourth Proportional to 3,613.13, 5,420.50 and 1,148.10

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Solution

The fourth proportional to 3,613.13, 5,420.50 and 1,148.10 is: 1,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.13 : 5,420.50 = 1,148.10 : x
  2. Step 2: Convert to fraction form
    3,613.13/5,420.50 = 1,148.10/x
  3. Step 3: Cross multiply
    3,613.13x = 5,420.50 × 1,148.10
  4. Step 4: Simplify right side
    3,613.13x = 6,223,276.05
  5. Step 5: Solve for x
    x = 6,223,276.05/3,613.13
  6. Step 6: Final answer
    x = 1,722.41

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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.