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Finding the Fourth Proportional to 3,613.50, 5,405.13 and 3,043.13

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Solution

The fourth proportional to 3,613.50, 5,405.13 and 3,043.13 is: 4,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.50 : 5,405.13 = 3,043.13 : x
  2. Step 2: Convert to fraction form
    3,613.50/5,405.13 = 3,043.13/x
  3. Step 3: Cross multiply
    3,613.50x = 5,405.13 × 3,043.13
  4. Step 4: Simplify right side
    3,613.50x = 16,448,486.23
  5. Step 5: Solve for x
    x = 16,448,486.23/3,613.50
  6. Step 6: Final answer
    x = 4,551.95

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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.