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Finding the Fourth Proportional to 3,580.65, 5,365.78 and 2,542.68

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Solution

The fourth proportional to 3,580.65, 5,365.78 and 2,542.68 is: 3,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.65 : 5,365.78 = 2,542.68 : x
  2. Step 2: Convert to fraction form
    3,580.65/5,365.78 = 2,542.68/x
  3. Step 3: Cross multiply
    3,580.65x = 5,365.78 × 2,542.68
  4. Step 4: Simplify right side
    3,580.65x = 13,643,448.78
  5. Step 5: Solve for x
    x = 13,643,448.78/3,580.65
  6. Step 6: Final answer
    x = 3,810.33

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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.