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Finding the Fourth Proportional to 4,240.72, 6,357.84 and 2,854

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Solution

The fourth proportional to 4,240.72, 6,357.84 and 2,854 is: 4,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.72 : 6,357.84 = 2,854 : x
  2. Step 2: Convert to fraction form
    4,240.72/6,357.84 = 2,854/x
  3. Step 3: Cross multiply
    4,240.72x = 6,357.84 × 2,854
  4. Step 4: Simplify right side
    4,240.72x = 18,145,275.36
  5. Step 5: Solve for x
    x = 18,145,275.36/4,240.72
  6. Step 6: Final answer
    x = 4,278.82

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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.