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Finding the Fourth Proportional to 3,898.38, 5,848.50 and 1,301.52

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Solution

The fourth proportional to 3,898.38, 5,848.50 and 1,301.52 is: 1,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.38 : 5,848.50 = 1,301.52 : x
  2. Step 2: Convert to fraction form
    3,898.38/5,848.50 = 1,301.52/x
  3. Step 3: Cross multiply
    3,898.38x = 5,848.50 × 1,301.52
  4. Step 4: Simplify right side
    3,898.38x = 7,611,939.72
  5. Step 5: Solve for x
    x = 7,611,939.72/3,898.38
  6. Step 6: Final answer
    x = 1,952.59

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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.