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Finding the Fourth Proportional to 3,586.65, 4,952.84 and 2,700.92

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Solution

The fourth proportional to 3,586.65, 4,952.84 and 2,700.92 is: 3,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.65 : 4,952.84 = 2,700.92 : x
  2. Step 2: Convert to fraction form
    3,586.65/4,952.84 = 2,700.92/x
  3. Step 3: Cross multiply
    3,586.65x = 4,952.84 × 2,700.92
  4. Step 4: Simplify right side
    3,586.65x = 13,377,186.34
  5. Step 5: Solve for x
    x = 13,377,186.34/3,586.65
  6. Step 6: Final answer
    x = 3,729.72

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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.