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Finding the Fourth Proportional to 5,569.36, 8,354.02 and 2,282.46

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Solution

The fourth proportional to 5,569.36, 8,354.02 and 2,282.46 is: 3,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.36 : 8,354.02 = 2,282.46 : x
  2. Step 2: Convert to fraction form
    5,569.36/8,354.02 = 2,282.46/x
  3. Step 3: Cross multiply
    5,569.36x = 8,354.02 × 2,282.46
  4. Step 4: Simplify right side
    5,569.36x = 19,067,716.49
  5. Step 5: Solve for x
    x = 19,067,716.49/5,569.36
  6. Step 6: Final answer
    x = 3,423.68

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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.