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Finding the Fourth Proportional to 6,408.90, 8,844.28 and 3,614.40

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Solution

The fourth proportional to 6,408.90, 8,844.28 and 3,614.40 is: 4,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.90 : 8,844.28 = 3,614.40 : x
  2. Step 2: Convert to fraction form
    6,408.90/8,844.28 = 3,614.40/x
  3. Step 3: Cross multiply
    6,408.90x = 8,844.28 × 3,614.40
  4. Step 4: Simplify right side
    6,408.90x = 31,966,765.63
  5. Step 5: Solve for x
    x = 31,966,765.63/6,408.90
  6. Step 6: Final answer
    x = 4,987.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.