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Finding the Fourth Proportional to 3,848.69, 5,773.02 and 1,251.62

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Solution

The fourth proportional to 3,848.69, 5,773.02 and 1,251.62 is: 1,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.69 : 5,773.02 = 1,251.62 : x
  2. Step 2: Convert to fraction form
    3,848.69/5,773.02 = 1,251.62/x
  3. Step 3: Cross multiply
    3,848.69x = 5,773.02 × 1,251.62
  4. Step 4: Simplify right side
    3,848.69x = 7,225,598.43
  5. Step 5: Solve for x
    x = 7,225,598.43/3,848.69
  6. Step 6: Final answer
    x = 1,877.42

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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.