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Finding the Fourth Proportional to 3,839.83, 5,750.02 and 2,374.54

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Solution

The fourth proportional to 3,839.83, 5,750.02 and 2,374.54 is: 3,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.83 : 5,750.02 = 2,374.54 : x
  2. Step 2: Convert to fraction form
    3,839.83/5,750.02 = 2,374.54/x
  3. Step 3: Cross multiply
    3,839.83x = 5,750.02 × 2,374.54
  4. Step 4: Simplify right side
    3,839.83x = 13,653,652.49
  5. Step 5: Solve for x
    x = 13,653,652.49/3,839.83
  6. Step 6: Final answer
    x = 3,555.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.