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Finding the Fourth Proportional to 6,679.89, 10,023.39 and 3,758.40

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Solution

The fourth proportional to 6,679.89, 10,023.39 and 3,758.40 is: 5,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.89 : 10,023.39 = 3,758.40 : x
  2. Step 2: Convert to fraction form
    6,679.89/10,023.39 = 3,758.40/x
  3. Step 3: Cross multiply
    6,679.89x = 10,023.39 × 3,758.40
  4. Step 4: Simplify right side
    6,679.89x = 37,671,908.98
  5. Step 5: Solve for x
    x = 37,671,908.98/6,679.89
  6. Step 6: Final answer
    x = 5,639.60

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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.