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Finding the Fourth Proportional to 6,251.86, 8,627.75 and 3,419.40

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Solution

The fourth proportional to 6,251.86, 8,627.75 and 3,419.40 is: 4,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.86 : 8,627.75 = 3,419.40 : x
  2. Step 2: Convert to fraction form
    6,251.86/8,627.75 = 3,419.40/x
  3. Step 3: Cross multiply
    6,251.86x = 8,627.75 × 3,419.40
  4. Step 4: Simplify right side
    6,251.86x = 29,501,728.35
  5. Step 5: Solve for x
    x = 29,501,728.35/6,251.86
  6. Step 6: Final answer
    x = 4,718.87

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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.