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Finding the Fourth Proportional to 3,902.76, 5,854.32 and 981.10

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Solution

The fourth proportional to 3,902.76, 5,854.32 and 981.10 is: 1,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.76 : 5,854.32 = 981.10 : x
  2. Step 2: Convert to fraction form
    3,902.76/5,854.32 = 981.10/x
  3. Step 3: Cross multiply
    3,902.76x = 5,854.32 × 981.10
  4. Step 4: Simplify right side
    3,902.76x = 5,743,673.35
  5. Step 5: Solve for x
    x = 5,743,673.35/3,902.76
  6. Step 6: Final answer
    x = 1,471.70

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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.