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Finding the Fourth Proportional to 6,275.24, 8,659.76 and 3,622.64

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Solution

The fourth proportional to 6,275.24, 8,659.76 and 3,622.64 is: 4,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.24 : 8,659.76 = 3,622.64 : x
  2. Step 2: Convert to fraction form
    6,275.24/8,659.76 = 3,622.64/x
  3. Step 3: Cross multiply
    6,275.24x = 8,659.76 × 3,622.64
  4. Step 4: Simplify right side
    6,275.24x = 31,371,192.97
  5. Step 5: Solve for x
    x = 31,371,192.97/6,275.24
  6. Step 6: Final answer
    x = 4,999.20

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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.