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Finding the Fourth Proportional to 3,818.77, 5,269.84 and 2,140.17

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Solution

The fourth proportional to 3,818.77, 5,269.84 and 2,140.17 is: 2,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.77 : 5,269.84 = 2,140.17 : x
  2. Step 2: Convert to fraction form
    3,818.77/5,269.84 = 2,140.17/x
  3. Step 3: Cross multiply
    3,818.77x = 5,269.84 × 2,140.17
  4. Step 4: Simplify right side
    3,818.77x = 11,278,353.47
  5. Step 5: Solve for x
    x = 11,278,353.47/3,818.77
  6. Step 6: Final answer
    x = 2,953.40

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