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Finding the Fourth Proportional to 4,703.32, 6,489.12 and 3,131.68

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Solution

The fourth proportional to 4,703.32, 6,489.12 and 3,131.68 is: 4,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.32 : 6,489.12 = 3,131.68 : x
  2. Step 2: Convert to fraction form
    4,703.32/6,489.12 = 3,131.68/x
  3. Step 3: Cross multiply
    4,703.32x = 6,489.12 × 3,131.68
  4. Step 4: Simplify right side
    4,703.32x = 20,321,847.32
  5. Step 5: Solve for x
    x = 20,321,847.32/4,703.32
  6. Step 6: Final answer
    x = 4,320.75

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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.