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Finding the Fourth Proportional to 3,175.74, 4,750.65 and 2,560.14

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Solution

The fourth proportional to 3,175.74, 4,750.65 and 2,560.14 is: 3,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.74 : 4,750.65 = 2,560.14 : x
  2. Step 2: Convert to fraction form
    3,175.74/4,750.65 = 2,560.14/x
  3. Step 3: Cross multiply
    3,175.74x = 4,750.65 × 2,560.14
  4. Step 4: Simplify right side
    3,175.74x = 12,162,329.09
  5. Step 5: Solve for x
    x = 12,162,329.09/3,175.74
  6. Step 6: Final answer
    x = 3,829.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.