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Finding the Fourth Proportional to 3,389.61, 5,082.36 and 1,412.85

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Solution

The fourth proportional to 3,389.61, 5,082.36 and 1,412.85 is: 2,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.61 : 5,082.36 = 1,412.85 : x
  2. Step 2: Convert to fraction form
    3,389.61/5,082.36 = 1,412.85/x
  3. Step 3: Cross multiply
    3,389.61x = 5,082.36 × 1,412.85
  4. Step 4: Simplify right side
    3,389.61x = 7,180,605.26
  5. Step 5: Solve for x
    x = 7,180,605.26/3,389.61
  6. Step 6: Final answer
    x = 2,118.42

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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.