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Finding the Fourth Proportional to 3,613.50, 5,417.19 and 1,423.80

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Solution

The fourth proportional to 3,613.50, 5,417.19 and 1,423.80 is: 2,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.50 : 5,417.19 = 1,423.80 : x
  2. Step 2: Convert to fraction form
    3,613.50/5,417.19 = 1,423.80/x
  3. Step 3: Cross multiply
    3,613.50x = 5,417.19 × 1,423.80
  4. Step 4: Simplify right side
    3,613.50x = 7,712,995.12
  5. Step 5: Solve for x
    x = 7,712,995.12/3,613.50
  6. Step 6: Final answer
    x = 2,134.49

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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.