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Finding the Fourth Proportional to 4,939.76, 7,411.56 and 1,862

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Solution

The fourth proportional to 4,939.76, 7,411.56 and 1,862 is: 2,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.76 : 7,411.56 = 1,862 : x
  2. Step 2: Convert to fraction form
    4,939.76/7,411.56 = 1,862/x
  3. Step 3: Cross multiply
    4,939.76x = 7,411.56 × 1,862
  4. Step 4: Simplify right side
    4,939.76x = 13,800,324.72
  5. Step 5: Solve for x
    x = 13,800,324.72/4,939.76
  6. Step 6: Final answer
    x = 2,793.72

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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.