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Finding the Fourth Proportional to 3,436.69, 5,152.72 and 1,586.78

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Solution

The fourth proportional to 3,436.69, 5,152.72 and 1,586.78 is: 2,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.69 : 5,152.72 = 1,586.78 : x
  2. Step 2: Convert to fraction form
    3,436.69/5,152.72 = 1,586.78/x
  3. Step 3: Cross multiply
    3,436.69x = 5,152.72 × 1,586.78
  4. Step 4: Simplify right side
    3,436.69x = 8,176,229.32
  5. Step 5: Solve for x
    x = 8,176,229.32/3,436.69
  6. Step 6: Final answer
    x = 2,379.10

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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.