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Finding the Fourth Proportional to 4,441.68, 6,647.80 and 2,464.20

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Solution

The fourth proportional to 4,441.68, 6,647.80 and 2,464.20 is: 3,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441.68 : 6,647.80 = 2,464.20 : x
  2. Step 2: Convert to fraction form
    4,441.68/6,647.80 = 2,464.20/x
  3. Step 3: Cross multiply
    4,441.68x = 6,647.80 × 2,464.20
  4. Step 4: Simplify right side
    4,441.68x = 16,381,508.76
  5. Step 5: Solve for x
    x = 16,381,508.76/4,441.68
  6. Step 6: Final answer
    x = 3,688.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.