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Finding the Fourth Proportional to 5,793.12, 8,690.94 and 1,897.38

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Solution

The fourth proportional to 5,793.12, 8,690.94 and 1,897.38 is: 2,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.12 : 8,690.94 = 1,897.38 : x
  2. Step 2: Convert to fraction form
    5,793.12/8,690.94 = 1,897.38/x
  3. Step 3: Cross multiply
    5,793.12x = 8,690.94 × 1,897.38
  4. Step 4: Simplify right side
    5,793.12x = 16,490,015.74
  5. Step 5: Solve for x
    x = 16,490,015.74/5,793.12
  6. Step 6: Final answer
    x = 2,846.48

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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.