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Finding the Fourth Proportional to 6,349.71, 8,758.77 and 4,196.26

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Solution

The fourth proportional to 6,349.71, 8,758.77 and 4,196.26 is: 5,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.71 : 8,758.77 = 4,196.26 : x
  2. Step 2: Convert to fraction form
    6,349.71/8,758.77 = 4,196.26/x
  3. Step 3: Cross multiply
    6,349.71x = 8,758.77 × 4,196.26
  4. Step 4: Simplify right side
    6,349.71x = 36,754,076.20
  5. Step 5: Solve for x
    x = 36,754,076.20/6,349.71
  6. Step 6: Final answer
    x = 5,788.31

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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.