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Finding the Fourth Proportional to 5,897.40, 8,843.28 and 2,000.52

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Solution

The fourth proportional to 5,897.40, 8,843.28 and 2,000.52 is: 2,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.40 : 8,843.28 = 2,000.52 : x
  2. Step 2: Convert to fraction form
    5,897.40/8,843.28 = 2,000.52/x
  3. Step 3: Cross multiply
    5,897.40x = 8,843.28 × 2,000.52
  4. Step 4: Simplify right side
    5,897.40x = 17,691,158.51
  5. Step 5: Solve for x
    x = 17,691,158.51/5,897.40
  6. Step 6: Final answer
    x = 2,999.82

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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.