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Finding the Fourth Proportional to 3,424.75, 5,132.03 and 1,865.57

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Solution

The fourth proportional to 3,424.75, 5,132.03 and 1,865.57 is: 2,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.75 : 5,132.03 = 1,865.57 : x
  2. Step 2: Convert to fraction form
    3,424.75/5,132.03 = 1,865.57/x
  3. Step 3: Cross multiply
    3,424.75x = 5,132.03 × 1,865.57
  4. Step 4: Simplify right side
    3,424.75x = 9,574,126.22
  5. Step 5: Solve for x
    x = 9,574,126.22/3,424.75
  6. Step 6: Final answer
    x = 2,795.57

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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.