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Finding the Fourth Proportional to 3,844.84, 5,765.34 and 1,537

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Solution

The fourth proportional to 3,844.84, 5,765.34 and 1,537 is: 2,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.84 : 5,765.34 = 1,537 : x
  2. Step 2: Convert to fraction form
    3,844.84/5,765.34 = 1,537/x
  3. Step 3: Cross multiply
    3,844.84x = 5,765.34 × 1,537
  4. Step 4: Simplify right side
    3,844.84x = 8,861,327.58
  5. Step 5: Solve for x
    x = 8,861,327.58/3,844.84
  6. Step 6: Final answer
    x = 2,304.73

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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.