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Finding the Fourth Proportional to 3,464.88, 5,172.20 and 3,207.96

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Solution

The fourth proportional to 3,464.88, 5,172.20 and 3,207.96 is: 4,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.88 : 5,172.20 = 3,207.96 : x
  2. Step 2: Convert to fraction form
    3,464.88/5,172.20 = 3,207.96/x
  3. Step 3: Cross multiply
    3,464.88x = 5,172.20 × 3,207.96
  4. Step 4: Simplify right side
    3,464.88x = 16,592,210.71
  5. Step 5: Solve for x
    x = 16,592,210.71/3,464.88
  6. Step 6: Final answer
    x = 4,788.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.