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Finding the Fourth Proportional to 5,897.88, 8,846.89 and 2,002.59

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Solution

The fourth proportional to 5,897.88, 8,846.89 and 2,002.59 is: 3,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.88 : 8,846.89 = 2,002.59 : x
  2. Step 2: Convert to fraction form
    5,897.88/8,846.89 = 2,002.59/x
  3. Step 3: Cross multiply
    5,897.88x = 8,846.89 × 2,002.59
  4. Step 4: Simplify right side
    5,897.88x = 17,716,688.44
  5. Step 5: Solve for x
    x = 17,716,688.44/5,897.88
  6. Step 6: Final answer
    x = 3,003.91

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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.