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Finding the Fourth Proportional to 3,138.48, 4,350.94 and 2,972.08

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Solution

The fourth proportional to 3,138.48, 4,350.94 and 2,972.08 is: 4,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.48 : 4,350.94 = 2,972.08 : x
  2. Step 2: Convert to fraction form
    3,138.48/4,350.94 = 2,972.08/x
  3. Step 3: Cross multiply
    3,138.48x = 4,350.94 × 2,972.08
  4. Step 4: Simplify right side
    3,138.48x = 12,931,341.76
  5. Step 5: Solve for x
    x = 12,931,341.76/3,138.48
  6. Step 6: Final answer
    x = 4,120.26

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.