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Finding the Fourth Proportional to 3,854.59, 5,779.46 and 2,124.43

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Solution

The fourth proportional to 3,854.59, 5,779.46 and 2,124.43 is: 3,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.59 : 5,779.46 = 2,124.43 : x
  2. Step 2: Convert to fraction form
    3,854.59/5,779.46 = 2,124.43/x
  3. Step 3: Cross multiply
    3,854.59x = 5,779.46 × 2,124.43
  4. Step 4: Simplify right side
    3,854.59x = 12,278,047.59
  5. Step 5: Solve for x
    x = 12,278,047.59/3,854.59
  6. Step 6: Final answer
    x = 3,185.31

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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.