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Finding the Fourth Proportional to 5,932.16, 8,897.28 and 2,234.08

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Solution

The fourth proportional to 5,932.16, 8,897.28 and 2,234.08 is: 3,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.16 : 8,897.28 = 2,234.08 : x
  2. Step 2: Convert to fraction form
    5,932.16/8,897.28 = 2,234.08/x
  3. Step 3: Cross multiply
    5,932.16x = 8,897.28 × 2,234.08
  4. Step 4: Simplify right side
    5,932.16x = 19,877,235.30
  5. Step 5: Solve for x
    x = 19,877,235.30/5,932.16
  6. Step 6: Final answer
    x = 3,350.76

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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.