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Finding the Fourth Proportional to 3,902.46, 5,854.80 and 2,053.14

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Solution

The fourth proportional to 3,902.46, 5,854.80 and 2,053.14 is: 3,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.46 : 5,854.80 = 2,053.14 : x
  2. Step 2: Convert to fraction form
    3,902.46/5,854.80 = 2,053.14/x
  3. Step 3: Cross multiply
    3,902.46x = 5,854.80 × 2,053.14
  4. Step 4: Simplify right side
    3,902.46x = 12,020,724.07
  5. Step 5: Solve for x
    x = 12,020,724.07/3,902.46
  6. Step 6: Final answer
    x = 3,080.29

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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.