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Finding the Fourth Proportional to 3,753.04, 5,631.36 and 1,444

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Solution

The fourth proportional to 3,753.04, 5,631.36 and 1,444 is: 2,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.04 : 5,631.36 = 1,444 : x
  2. Step 2: Convert to fraction form
    3,753.04/5,631.36 = 1,444/x
  3. Step 3: Cross multiply
    3,753.04x = 5,631.36 × 1,444
  4. Step 4: Simplify right side
    3,753.04x = 8,131,683.84
  5. Step 5: Solve for x
    x = 8,131,683.84/3,753.04
  6. Step 6: Final answer
    x = 2,166.69

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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.