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Finding the Fourth Proportional to 3,902.38, 5,853.76 and 980.72

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Solution

The fourth proportional to 3,902.38, 5,853.76 and 980.72 is: 1,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.38 : 5,853.76 = 980.72 : x
  2. Step 2: Convert to fraction form
    3,902.38/5,853.76 = 980.72/x
  3. Step 3: Cross multiply
    3,902.38x = 5,853.76 × 980.72
  4. Step 4: Simplify right side
    3,902.38x = 5,740,899.51
  5. Step 5: Solve for x
    x = 5,740,899.51/3,902.38
  6. Step 6: Final answer
    x = 1,471.13

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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.