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Finding the Fourth Proportional to 6,494.31, 8,964.47 and 3,975.86

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Solution

The fourth proportional to 6,494.31, 8,964.47 and 3,975.86 is: 5,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.31 : 8,964.47 = 3,975.86 : x
  2. Step 2: Convert to fraction form
    6,494.31/8,964.47 = 3,975.86/x
  3. Step 3: Cross multiply
    6,494.31x = 8,964.47 × 3,975.86
  4. Step 4: Simplify right side
    6,494.31x = 35,641,412.99
  5. Step 5: Solve for x
    x = 35,641,412.99/6,494.31
  6. Step 6: Final answer
    x = 5,488.10

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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.