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Finding the Fourth Proportional to 4,672.35, 6,449.10 and 3,159.22

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Solution

The fourth proportional to 4,672.35, 6,449.10 and 3,159.22 is: 4,360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.35 : 6,449.10 = 3,159.22 : x
  2. Step 2: Convert to fraction form
    4,672.35/6,449.10 = 3,159.22/x
  3. Step 3: Cross multiply
    4,672.35x = 6,449.10 × 3,159.22
  4. Step 4: Simplify right side
    4,672.35x = 20,374,125.70
  5. Step 5: Solve for x
    x = 20,374,125.70/4,672.35
  6. Step 6: Final answer
    x = 4,360.57

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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.