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Finding the Fourth Proportional to 5,897.53, 8,840.71 and 2,197.24

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Solution

The fourth proportional to 5,897.53, 8,840.71 and 2,197.24 is: 3,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.53 : 8,840.71 = 2,197.24 : x
  2. Step 2: Convert to fraction form
    5,897.53/8,840.71 = 2,197.24/x
  3. Step 3: Cross multiply
    5,897.53x = 8,840.71 × 2,197.24
  4. Step 4: Simplify right side
    5,897.53x = 19,425,161.64
  5. Step 5: Solve for x
    x = 19,425,161.64/5,897.53
  6. Step 6: Final answer
    x = 3,293.78

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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.