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Finding the Fourth Proportional to 3,049.60, 4,199.52 and 2,968.96

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Solution

The fourth proportional to 3,049.60, 4,199.52 and 2,968.96 is: 4,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.60 : 4,199.52 = 2,968.96 : x
  2. Step 2: Convert to fraction form
    3,049.60/4,199.52 = 2,968.96/x
  3. Step 3: Cross multiply
    3,049.60x = 4,199.52 × 2,968.96
  4. Step 4: Simplify right side
    3,049.60x = 12,468,206.90
  5. Step 5: Solve for x
    x = 12,468,206.90/3,049.60
  6. Step 6: Final answer
    x = 4,088.47

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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.