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Finding the Fourth Proportional to 3,081.68, 4,627.20 and 2,981.96

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Solution

The fourth proportional to 3,081.68, 4,627.20 and 2,981.96 is: 4,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.68 : 4,627.20 = 2,981.96 : x
  2. Step 2: Convert to fraction form
    3,081.68/4,627.20 = 2,981.96/x
  3. Step 3: Cross multiply
    3,081.68x = 4,627.20 × 2,981.96
  4. Step 4: Simplify right side
    3,081.68x = 13,798,125.31
  5. Step 5: Solve for x
    x = 13,798,125.31/3,081.68
  6. Step 6: Final answer
    x = 4,477.47

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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.