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Finding the Fourth Proportional to 5,409.47, 8,114.15 and 1,711.70

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Solution

The fourth proportional to 5,409.47, 8,114.15 and 1,711.70 is: 2,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.47 : 8,114.15 = 1,711.70 : x
  2. Step 2: Convert to fraction form
    5,409.47/8,114.15 = 1,711.70/x
  3. Step 3: Cross multiply
    5,409.47x = 8,114.15 × 1,711.70
  4. Step 4: Simplify right side
    5,409.47x = 13,888,990.56
  5. Step 5: Solve for x
    x = 13,888,990.56/5,409.47
  6. Step 6: Final answer
    x = 2,567.53

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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.