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Finding the Fourth Proportional to 5,789.88, 8,686.44 and 1,897.02

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Solution

The fourth proportional to 5,789.88, 8,686.44 and 1,897.02 is: 2,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.88 : 8,686.44 = 1,897.02 : x
  2. Step 2: Convert to fraction form
    5,789.88/8,686.44 = 1,897.02/x
  3. Step 3: Cross multiply
    5,789.88x = 8,686.44 × 1,897.02
  4. Step 4: Simplify right side
    5,789.88x = 16,478,350.41
  5. Step 5: Solve for x
    x = 16,478,350.41/5,789.88
  6. Step 6: Final answer
    x = 2,846.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.