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Finding the Fourth Proportional to 6,165.50, 8,508.42 and 3,371

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Solution

The fourth proportional to 6,165.50, 8,508.42 and 3,371 is: 4,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.50 : 8,508.42 = 3,371 : x
  2. Step 2: Convert to fraction form
    6,165.50/8,508.42 = 3,371/x
  3. Step 3: Cross multiply
    6,165.50x = 8,508.42 × 3,371
  4. Step 4: Simplify right side
    6,165.50x = 28,681,883.82
  5. Step 5: Solve for x
    x = 28,681,883.82/6,165.50
  6. Step 6: Final answer
    x = 4,652.00

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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.