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Finding the Fourth Proportional to 4,672.12, 6,444.48 and 2,809.12

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Solution

The fourth proportional to 4,672.12, 6,444.48 and 2,809.12 is: 3,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.12 : 6,444.48 = 2,809.12 : x
  2. Step 2: Convert to fraction form
    4,672.12/6,444.48 = 2,809.12/x
  3. Step 3: Cross multiply
    4,672.12x = 6,444.48 × 2,809.12
  4. Step 4: Simplify right side
    4,672.12x = 18,103,317.66
  5. Step 5: Solve for x
    x = 18,103,317.66/4,672.12
  6. Step 6: Final answer
    x = 3,874.75

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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.