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Finding the Fourth Proportional to 5,408.16, 8,107.92 and 2,328

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Solution

The fourth proportional to 5,408.16, 8,107.92 and 2,328 is: 3,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.16 : 8,107.92 = 2,328 : x
  2. Step 2: Convert to fraction form
    5,408.16/8,107.92 = 2,328/x
  3. Step 3: Cross multiply
    5,408.16x = 8,107.92 × 2,328
  4. Step 4: Simplify right side
    5,408.16x = 18,875,237.76
  5. Step 5: Solve for x
    x = 18,875,237.76/5,408.16
  6. Step 6: Final answer
    x = 3,490.14

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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.