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Finding the Fourth Proportional to 3,564.68, 5,346.36 and 1,616.42

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Solution

The fourth proportional to 3,564.68, 5,346.36 and 1,616.42 is: 2,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.68 : 5,346.36 = 1,616.42 : x
  2. Step 2: Convert to fraction form
    3,564.68/5,346.36 = 1,616.42/x
  3. Step 3: Cross multiply
    3,564.68x = 5,346.36 × 1,616.42
  4. Step 4: Simplify right side
    3,564.68x = 8,641,963.23
  5. Step 5: Solve for x
    x = 8,641,963.23/3,564.68
  6. Step 6: Final answer
    x = 2,424.33

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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.