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Finding the Fourth Proportional to 3,897.57, 5,848.20 and 1,433.28

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Solution

The fourth proportional to 3,897.57, 5,848.20 and 1,433.28 is: 2,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.57 : 5,848.20 = 1,433.28 : x
  2. Step 2: Convert to fraction form
    3,897.57/5,848.20 = 1,433.28/x
  3. Step 3: Cross multiply
    3,897.57x = 5,848.20 × 1,433.28
  4. Step 4: Simplify right side
    3,897.57x = 8,382,108.10
  5. Step 5: Solve for x
    x = 8,382,108.10/3,897.57
  6. Step 6: Final answer
    x = 2,150.60

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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.