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Finding the Fourth Proportional to 5,658.19, 7,808.30 and 3,299.87

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Solution

The fourth proportional to 5,658.19, 7,808.30 and 3,299.87 is: 4,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.19 : 7,808.30 = 3,299.87 : x
  2. Step 2: Convert to fraction form
    5,658.19/7,808.30 = 3,299.87/x
  3. Step 3: Cross multiply
    5,658.19x = 7,808.30 × 3,299.87
  4. Step 4: Simplify right side
    5,658.19x = 25,766,390.32
  5. Step 5: Solve for x
    x = 25,766,390.32/5,658.19
  6. Step 6: Final answer
    x = 4,553.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.