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Finding the Fourth Proportional to 3,549.78, 5,286 and 3,510.96

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Solution

The fourth proportional to 3,549.78, 5,286 and 3,510.96 is: 5,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.78 : 5,286 = 3,510.96 : x
  2. Step 2: Convert to fraction form
    3,549.78/5,286 = 3,510.96/x
  3. Step 3: Cross multiply
    3,549.78x = 5,286 × 3,510.96
  4. Step 4: Simplify right side
    3,549.78x = 18,558,934.56
  5. Step 5: Solve for x
    x = 18,558,934.56/3,549.78
  6. Step 6: Final answer
    x = 5,228.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.