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Finding the Fourth Proportional to 6,278.02, 8,641.91 and 5,426.88

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Solution

The fourth proportional to 6,278.02, 8,641.91 and 5,426.88 is: 7,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.02 : 8,641.91 = 5,426.88 : x
  2. Step 2: Convert to fraction form
    6,278.02/8,641.91 = 5,426.88/x
  3. Step 3: Cross multiply
    6,278.02x = 8,641.91 × 5,426.88
  4. Step 4: Simplify right side
    6,278.02x = 46,898,565.33
  5. Step 5: Solve for x
    x = 46,898,565.33/6,278.02
  6. Step 6: Final answer
    x = 7,470.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.