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Finding the Fourth Proportional to 5,389.90, 8,082.15 and 3,419.49

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Solution

The fourth proportional to 5,389.90, 8,082.15 and 3,419.49 is: 5,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.90 : 8,082.15 = 3,419.49 : x
  2. Step 2: Convert to fraction form
    5,389.90/8,082.15 = 3,419.49/x
  3. Step 3: Cross multiply
    5,389.90x = 8,082.15 × 3,419.49
  4. Step 4: Simplify right side
    5,389.90x = 27,636,831.10
  5. Step 5: Solve for x
    x = 27,636,831.10/5,389.90
  6. Step 6: Final answer
    x = 5,127.52

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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.