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Finding the Fourth Proportional to 4,314.75, 6,471.48 and 1,392.66

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Solution

The fourth proportional to 4,314.75, 6,471.48 and 1,392.66 is: 2,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.75 : 6,471.48 = 1,392.66 : x
  2. Step 2: Convert to fraction form
    4,314.75/6,471.48 = 1,392.66/x
  3. Step 3: Cross multiply
    4,314.75x = 6,471.48 × 1,392.66
  4. Step 4: Simplify right side
    4,314.75x = 9,012,571.34
  5. Step 5: Solve for x
    x = 9,012,571.34/4,314.75
  6. Step 6: Final answer
    x = 2,088.78

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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.