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Finding the Fourth Proportional to 3,612.76, 5,419.12 and 1,272.22

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Solution

The fourth proportional to 3,612.76, 5,419.12 and 1,272.22 is: 1,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.76 : 5,419.12 = 1,272.22 : x
  2. Step 2: Convert to fraction form
    3,612.76/5,419.12 = 1,272.22/x
  3. Step 3: Cross multiply
    3,612.76x = 5,419.12 × 1,272.22
  4. Step 4: Simplify right side
    3,612.76x = 6,894,312.85
  5. Step 5: Solve for x
    x = 6,894,312.85/3,612.76
  6. Step 6: Final answer
    x = 1,908.32

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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.