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Finding the Fourth Proportional to 3,898.97, 5,848.76 and 1,301.91

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Solution

The fourth proportional to 3,898.97, 5,848.76 and 1,301.91 is: 1,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.97 : 5,848.76 = 1,301.91 : x
  2. Step 2: Convert to fraction form
    3,898.97/5,848.76 = 1,301.91/x
  3. Step 3: Cross multiply
    3,898.97x = 5,848.76 × 1,301.91
  4. Step 4: Simplify right side
    3,898.97x = 7,614,559.13
  5. Step 5: Solve for x
    x = 7,614,559.13/3,898.97
  6. Step 6: Final answer
    x = 1,952.97

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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.