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Finding the Fourth Proportional to 3,841.49, 5,762.24 and 1,377.02

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Solution

The fourth proportional to 3,841.49, 5,762.24 and 1,377.02 is: 2,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.49 : 5,762.24 = 1,377.02 : x
  2. Step 2: Convert to fraction form
    3,841.49/5,762.24 = 1,377.02/x
  3. Step 3: Cross multiply
    3,841.49x = 5,762.24 × 1,377.02
  4. Step 4: Simplify right side
    3,841.49x = 7,934,700.00
  5. Step 5: Solve for x
    x = 7,934,700.00/3,841.49
  6. Step 6: Final answer
    x = 2,065.53

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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.