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Finding the Fourth Proportional to 3,640.44, 5,460.66 and 1,043.38

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Solution

The fourth proportional to 3,640.44, 5,460.66 and 1,043.38 is: 1,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.44 : 5,460.66 = 1,043.38 : x
  2. Step 2: Convert to fraction form
    3,640.44/5,460.66 = 1,043.38/x
  3. Step 3: Cross multiply
    3,640.44x = 5,460.66 × 1,043.38
  4. Step 4: Simplify right side
    3,640.44x = 5,697,510.91
  5. Step 5: Solve for x
    x = 5,697,510.91/3,640.44
  6. Step 6: Final answer
    x = 1,565.06

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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.