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Finding the Fourth Proportional to 5,149.57, 7,101.10 and 4,405.99

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Solution

The fourth proportional to 5,149.57, 7,101.10 and 4,405.99 is: 6,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.57 : 7,101.10 = 4,405.99 : x
  2. Step 2: Convert to fraction form
    5,149.57/7,101.10 = 4,405.99/x
  3. Step 3: Cross multiply
    5,149.57x = 7,101.10 × 4,405.99
  4. Step 4: Simplify right side
    5,149.57x = 31,287,375.59
  5. Step 5: Solve for x
    x = 31,287,375.59/5,149.57
  6. Step 6: Final answer
    x = 6,075.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.