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Finding the Fourth Proportional to 6,312.24, 8,710.20 and 3,659.28

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Solution

The fourth proportional to 6,312.24, 8,710.20 and 3,659.28 is: 5,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.24 : 8,710.20 = 3,659.28 : x
  2. Step 2: Convert to fraction form
    6,312.24/8,710.20 = 3,659.28/x
  3. Step 3: Cross multiply
    6,312.24x = 8,710.20 × 3,659.28
  4. Step 4: Simplify right side
    6,312.24x = 31,873,060.66
  5. Step 5: Solve for x
    x = 31,873,060.66/6,312.24
  6. Step 6: Final answer
    x = 5,049.41

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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.