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Finding the Fourth Proportional to 5,586.14, 8,379.76 and 1,689.86

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Solution

The fourth proportional to 5,586.14, 8,379.76 and 1,689.86 is: 2,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.14 : 8,379.76 = 1,689.86 : x
  2. Step 2: Convert to fraction form
    5,586.14/8,379.76 = 1,689.86/x
  3. Step 3: Cross multiply
    5,586.14x = 8,379.76 × 1,689.86
  4. Step 4: Simplify right side
    5,586.14x = 14,160,621.23
  5. Step 5: Solve for x
    x = 14,160,621.23/5,586.14
  6. Step 6: Final answer
    x = 2,534.96

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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.