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Finding the Fourth Proportional to 4,657.20, 6,991.20 and 2,464.80

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Solution

The fourth proportional to 4,657.20, 6,991.20 and 2,464.80 is: 3,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.20 : 6,991.20 = 2,464.80 : x
  2. Step 2: Convert to fraction form
    4,657.20/6,991.20 = 2,464.80/x
  3. Step 3: Cross multiply
    4,657.20x = 6,991.20 × 2,464.80
  4. Step 4: Simplify right side
    4,657.20x = 17,231,909.76
  5. Step 5: Solve for x
    x = 17,231,909.76/4,657.20
  6. Step 6: Final answer
    x = 3,700.06

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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.