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Finding the Fourth Proportional to 3,899, 5,848.38 and 1,125.74

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Solution

The fourth proportional to 3,899, 5,848.38 and 1,125.74 is: 1,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899 : 5,848.38 = 1,125.74 : x
  2. Step 2: Convert to fraction form
    3,899/5,848.38 = 1,125.74/x
  3. Step 3: Cross multiply
    3,899x = 5,848.38 × 1,125.74
  4. Step 4: Simplify right side
    3,899x = 6,583,755.30
  5. Step 5: Solve for x
    x = 6,583,755.30/3,899
  6. Step 6: Final answer
    x = 1,688.58

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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.