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Finding the Fourth Proportional to 3,599.48, 5,389.87 and 3,082.80

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Solution

The fourth proportional to 3,599.48, 5,389.87 and 3,082.80 is: 4,616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.48 : 5,389.87 = 3,082.80 : x
  2. Step 2: Convert to fraction form
    3,599.48/5,389.87 = 3,082.80/x
  3. Step 3: Cross multiply
    3,599.48x = 5,389.87 × 3,082.80
  4. Step 4: Simplify right side
    3,599.48x = 16,615,875.82
  5. Step 5: Solve for x
    x = 16,615,875.82/3,599.48
  6. Step 6: Final answer
    x = 4,616.19

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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.