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Finding the Fourth Proportional to 6,343.74, 8,754.75 and 3,549.24

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Solution

The fourth proportional to 6,343.74, 8,754.75 and 3,549.24 is: 4,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.74 : 8,754.75 = 3,549.24 : x
  2. Step 2: Convert to fraction form
    6,343.74/8,754.75 = 3,549.24/x
  3. Step 3: Cross multiply
    6,343.74x = 8,754.75 × 3,549.24
  4. Step 4: Simplify right side
    6,343.74x = 31,072,708.89
  5. Step 5: Solve for x
    x = 31,072,708.89/6,343.74
  6. Step 6: Final answer
    x = 4,898.17

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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.