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Finding the Fourth Proportional to 5,409.86, 8,114.80 and 2,123.90

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Solution

The fourth proportional to 5,409.86, 8,114.80 and 2,123.90 is: 3,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.86 : 8,114.80 = 2,123.90 : x
  2. Step 2: Convert to fraction form
    5,409.86/8,114.80 = 2,123.90/x
  3. Step 3: Cross multiply
    5,409.86x = 8,114.80 × 2,123.90
  4. Step 4: Simplify right side
    5,409.86x = 17,235,023.72
  5. Step 5: Solve for x
    x = 17,235,023.72/5,409.86
  6. Step 6: Final answer
    x = 3,185.85

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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.