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Finding the Fourth Proportional to 4,302.88, 6,454.32 and 1,382.88

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Solution

The fourth proportional to 4,302.88, 6,454.32 and 1,382.88 is: 2,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.88 : 6,454.32 = 1,382.88 : x
  2. Step 2: Convert to fraction form
    4,302.88/6,454.32 = 1,382.88/x
  3. Step 3: Cross multiply
    4,302.88x = 6,454.32 × 1,382.88
  4. Step 4: Simplify right side
    4,302.88x = 8,925,550.04
  5. Step 5: Solve for x
    x = 8,925,550.04/4,302.88
  6. Step 6: Final answer
    x = 2,074.32

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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.