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Finding the Fourth Proportional to 5,616.04, 8,425.02 and 3,149.80

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Solution

The fourth proportional to 5,616.04, 8,425.02 and 3,149.80 is: 4,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.04 : 8,425.02 = 3,149.80 : x
  2. Step 2: Convert to fraction form
    5,616.04/8,425.02 = 3,149.80/x
  3. Step 3: Cross multiply
    5,616.04x = 8,425.02 × 3,149.80
  4. Step 4: Simplify right side
    5,616.04x = 26,537,128.00
  5. Step 5: Solve for x
    x = 26,537,128.00/5,616.04
  6. Step 6: Final answer
    x = 4,725.24

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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.