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Finding the Fourth Proportional to 4,052.13, 6,078.19 and 974.13

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Solution

The fourth proportional to 4,052.13, 6,078.19 and 974.13 is: 1,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.13 : 6,078.19 = 974.13 : x
  2. Step 2: Convert to fraction form
    4,052.13/6,078.19 = 974.13/x
  3. Step 3: Cross multiply
    4,052.13x = 6,078.19 × 974.13
  4. Step 4: Simplify right side
    4,052.13x = 5,920,947.22
  5. Step 5: Solve for x
    x = 5,920,947.22/4,052.13
  6. Step 6: Final answer
    x = 1,461.19

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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.