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Finding the Fourth Proportional to 2,975.52, 4,463.62 and 2,811.72

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Solution

The fourth proportional to 2,975.52, 4,463.62 and 2,811.72 is: 4,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.52 : 4,463.62 = 2,811.72 : x
  2. Step 2: Convert to fraction form
    2,975.52/4,463.62 = 2,811.72/x
  3. Step 3: Cross multiply
    2,975.52x = 4,463.62 × 2,811.72
  4. Step 4: Simplify right side
    2,975.52x = 12,550,449.63
  5. Step 5: Solve for x
    x = 12,550,449.63/2,975.52
  6. Step 6: Final answer
    x = 4,217.90

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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.