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Finding the Fourth Proportional to 3,586.81, 5,382.30 and 1,506.65

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Solution

The fourth proportional to 3,586.81, 5,382.30 and 1,506.65 is: 2,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.81 : 5,382.30 = 1,506.65 : x
  2. Step 2: Convert to fraction form
    3,586.81/5,382.30 = 1,506.65/x
  3. Step 3: Cross multiply
    3,586.81x = 5,382.30 × 1,506.65
  4. Step 4: Simplify right side
    3,586.81x = 8,109,234.76
  5. Step 5: Solve for x
    x = 8,109,234.76/3,586.81
  6. Step 6: Final answer
    x = 2,260.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.