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Finding the Fourth Proportional to 6,305.85, 8,701.26 and 3,788.40

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Solution

The fourth proportional to 6,305.85, 8,701.26 and 3,788.40 is: 5,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.85 : 8,701.26 = 3,788.40 : x
  2. Step 2: Convert to fraction form
    6,305.85/8,701.26 = 3,788.40/x
  3. Step 3: Cross multiply
    6,305.85x = 8,701.26 × 3,788.40
  4. Step 4: Simplify right side
    6,305.85x = 32,963,853.38
  5. Step 5: Solve for x
    x = 32,963,853.38/6,305.85
  6. Step 6: Final answer
    x = 5,227.50

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Why These Related Problems?

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