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Finding the Fourth Proportional to 3,779.18, 5,662.99 and 1,586.71

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Solution

The fourth proportional to 3,779.18, 5,662.99 and 1,586.71 is: 2,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.18 : 5,662.99 = 1,586.71 : x
  2. Step 2: Convert to fraction form
    3,779.18/5,662.99 = 1,586.71/x
  3. Step 3: Cross multiply
    3,779.18x = 5,662.99 × 1,586.71
  4. Step 4: Simplify right side
    3,779.18x = 8,985,522.86
  5. Step 5: Solve for x
    x = 8,985,522.86/3,779.18
  6. Step 6: Final answer
    x = 2,377.64

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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.