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Finding the Fourth Proportional to 3,472.74, 5,209.06 and 840.22

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Solution

The fourth proportional to 3,472.74, 5,209.06 and 840.22 is: 1,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.74 : 5,209.06 = 840.22 : x
  2. Step 2: Convert to fraction form
    3,472.74/5,209.06 = 840.22/x
  3. Step 3: Cross multiply
    3,472.74x = 5,209.06 × 840.22
  4. Step 4: Simplify right side
    3,472.74x = 4,376,756.39
  5. Step 5: Solve for x
    x = 4,376,756.39/3,472.74
  6. Step 6: Final answer
    x = 1,260.32

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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.