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Finding the Fourth Proportional to 5,175.59, 7,751.30 and 3,785.42

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Solution

The fourth proportional to 5,175.59, 7,751.30 and 3,785.42 is: 5,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.59 : 7,751.30 = 3,785.42 : x
  2. Step 2: Convert to fraction form
    5,175.59/7,751.30 = 3,785.42/x
  3. Step 3: Cross multiply
    5,175.59x = 7,751.30 × 3,785.42
  4. Step 4: Simplify right side
    5,175.59x = 29,341,926.50
  5. Step 5: Solve for x
    x = 29,341,926.50/5,175.59
  6. Step 6: Final answer
    x = 5,669.30

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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.