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Finding the Fourth Proportional to 3,839.63, 5,760.35 and 1,374.99

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Solution

The fourth proportional to 3,839.63, 5,760.35 and 1,374.99 is: 2,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.63 : 5,760.35 = 1,374.99 : x
  2. Step 2: Convert to fraction form
    3,839.63/5,760.35 = 1,374.99/x
  3. Step 3: Cross multiply
    3,839.63x = 5,760.35 × 1,374.99
  4. Step 4: Simplify right side
    3,839.63x = 7,920,416.77
  5. Step 5: Solve for x
    x = 7,920,416.77/3,839.63
  6. Step 6: Final answer
    x = 2,062.81

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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.