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Finding the Fourth Proportional to 5,693.90, 8,545.41 and 2,409.29

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Solution

The fourth proportional to 5,693.90, 8,545.41 and 2,409.29 is: 3,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.90 : 8,545.41 = 2,409.29 : x
  2. Step 2: Convert to fraction form
    5,693.90/8,545.41 = 2,409.29/x
  3. Step 3: Cross multiply
    5,693.90x = 8,545.41 × 2,409.29
  4. Step 4: Simplify right side
    5,693.90x = 20,588,328.13
  5. Step 5: Solve for x
    x = 20,588,328.13/5,693.90
  6. Step 6: Final answer
    x = 3,615.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.