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Finding the Fourth Proportional to 6,337.40, 8,745.66 and 3,542.90

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Solution

The fourth proportional to 6,337.40, 8,745.66 and 3,542.90 is: 4,889.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.40 : 8,745.66 = 3,542.90 : x
  2. Step 2: Convert to fraction form
    6,337.40/8,745.66 = 3,542.90/x
  3. Step 3: Cross multiply
    6,337.40x = 8,745.66 × 3,542.90
  4. Step 4: Simplify right side
    6,337.40x = 30,984,955.09
  5. Step 5: Solve for x
    x = 30,984,955.09/6,337.40
  6. Step 6: Final answer
    x = 4,889.23

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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.