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Finding the Fourth Proportional to 6,343.84, 8,754.51 and 3,549.34

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Solution

The fourth proportional to 6,343.84, 8,754.51 and 3,549.34 is: 4,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.84 : 8,754.51 = 3,549.34 : x
  2. Step 2: Convert to fraction form
    6,343.84/8,754.51 = 3,549.34/x
  3. Step 3: Cross multiply
    6,343.84x = 8,754.51 × 3,549.34
  4. Step 4: Simplify right side
    6,343.84x = 31,072,732.52
  5. Step 5: Solve for x
    x = 31,072,732.52/6,343.84
  6. Step 6: Final answer
    x = 4,898.10

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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.