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Finding the Fourth Proportional to 5,696.68, 8,545.70 and 2,409.35

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Solution

The fourth proportional to 5,696.68, 8,545.70 and 2,409.35 is: 3,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.68 : 8,545.70 = 2,409.35 : x
  2. Step 2: Convert to fraction form
    5,696.68/8,545.70 = 2,409.35/x
  3. Step 3: Cross multiply
    5,696.68x = 8,545.70 × 2,409.35
  4. Step 4: Simplify right side
    5,696.68x = 20,589,545.59
  5. Step 5: Solve for x
    x = 20,589,545.59/5,696.68
  6. Step 6: Final answer
    x = 3,614.31

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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.