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Finding the Fourth Proportional to 3,149.70, 4,724.55 and 3,101.10

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Solution

The fourth proportional to 3,149.70, 4,724.55 and 3,101.10 is: 4,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.70 : 4,724.55 = 3,101.10 : x
  2. Step 2: Convert to fraction form
    3,149.70/4,724.55 = 3,101.10/x
  3. Step 3: Cross multiply
    3,149.70x = 4,724.55 × 3,101.10
  4. Step 4: Simplify right side
    3,149.70x = 14,651,302.01
  5. Step 5: Solve for x
    x = 14,651,302.01/3,149.70
  6. Step 6: Final answer
    x = 4,651.65

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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.