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Finding the Fourth Proportional to 6,275.64, 8,660.25 and 3,443.04

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Solution

The fourth proportional to 6,275.64, 8,660.25 and 3,443.04 is: 4,751.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.64 : 8,660.25 = 3,443.04 : x
  2. Step 2: Convert to fraction form
    6,275.64/8,660.25 = 3,443.04/x
  3. Step 3: Cross multiply
    6,275.64x = 8,660.25 × 3,443.04
  4. Step 4: Simplify right side
    6,275.64x = 29,817,587.16
  5. Step 5: Solve for x
    x = 29,817,587.16/6,275.64
  6. Step 6: Final answer
    x = 4,751.32

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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.