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Finding the Fourth Proportional to 3,626.73, 5,440.98 and 1,029.66

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Solution

The fourth proportional to 3,626.73, 5,440.98 and 1,029.66 is: 1,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.73 : 5,440.98 = 1,029.66 : x
  2. Step 2: Convert to fraction form
    3,626.73/5,440.98 = 1,029.66/x
  3. Step 3: Cross multiply
    3,626.73x = 5,440.98 × 1,029.66
  4. Step 4: Simplify right side
    3,626.73x = 5,602,359.47
  5. Step 5: Solve for x
    x = 5,602,359.47/3,626.73
  6. Step 6: Final answer
    x = 1,544.74

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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.