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Finding the Fourth Proportional to 3,605.70, 5,409.34 and 1,140.66

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Solution

The fourth proportional to 3,605.70, 5,409.34 and 1,140.66 is: 1,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.70 : 5,409.34 = 1,140.66 : x
  2. Step 2: Convert to fraction form
    3,605.70/5,409.34 = 1,140.66/x
  3. Step 3: Cross multiply
    3,605.70x = 5,409.34 × 1,140.66
  4. Step 4: Simplify right side
    3,605.70x = 6,170,217.76
  5. Step 5: Solve for x
    x = 6,170,217.76/3,605.70
  6. Step 6: Final answer
    x = 1,711.24

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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.