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Finding the Fourth Proportional to 3,897.50, 5,842.91 and 1,431.89

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Solution

The fourth proportional to 3,897.50, 5,842.91 and 1,431.89 is: 2,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.50 : 5,842.91 = 1,431.89 : x
  2. Step 2: Convert to fraction form
    3,897.50/5,842.91 = 1,431.89/x
  3. Step 3: Cross multiply
    3,897.50x = 5,842.91 × 1,431.89
  4. Step 4: Simplify right side
    3,897.50x = 8,366,378.77
  5. Step 5: Solve for x
    x = 8,366,378.77/3,897.50
  6. Step 6: Final answer
    x = 2,146.60

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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.