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Finding the Fourth Proportional to 6,574.91, 9,854.01 and 2,876.18

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Solution

The fourth proportional to 6,574.91, 9,854.01 and 2,876.18 is: 4,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.91 : 9,854.01 = 2,876.18 : x
  2. Step 2: Convert to fraction form
    6,574.91/9,854.01 = 2,876.18/x
  3. Step 3: Cross multiply
    6,574.91x = 9,854.01 × 2,876.18
  4. Step 4: Simplify right side
    6,574.91x = 28,341,857.21
  5. Step 5: Solve for x
    x = 28,341,857.21/6,574.91
  6. Step 6: Final answer
    x = 4,310.61

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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.