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Finding the Fourth Proportional to 5,696.88, 8,545.45 and 2,234.13

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Solution

The fourth proportional to 5,696.88, 8,545.45 and 2,234.13 is: 3,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.88 : 8,545.45 = 2,234.13 : x
  2. Step 2: Convert to fraction form
    5,696.88/8,545.45 = 2,234.13/x
  3. Step 3: Cross multiply
    5,696.88x = 8,545.45 × 2,234.13
  4. Step 4: Simplify right side
    5,696.88x = 19,091,646.21
  5. Step 5: Solve for x
    x = 19,091,646.21/5,696.88
  6. Step 6: Final answer
    x = 3,351.25

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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.