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Finding the Fourth Proportional to 3,897.40, 5,846.08 and 2,252.88

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Solution

The fourth proportional to 3,897.40, 5,846.08 and 2,252.88 is: 3,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.40 : 5,846.08 = 2,252.88 : x
  2. Step 2: Convert to fraction form
    3,897.40/5,846.08 = 2,252.88/x
  3. Step 3: Cross multiply
    3,897.40x = 5,846.08 × 2,252.88
  4. Step 4: Simplify right side
    3,897.40x = 13,170,516.71
  5. Step 5: Solve for x
    x = 13,170,516.71/3,897.40
  6. Step 6: Final answer
    x = 3,379.31

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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.