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Finding the Fourth Proportional to 3,290.69, 4,542 and 1,875.18

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Solution

The fourth proportional to 3,290.69, 4,542 and 1,875.18 is: 2,588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.69 : 4,542 = 1,875.18 : x
  2. Step 2: Convert to fraction form
    3,290.69/4,542 = 1,875.18/x
  3. Step 3: Cross multiply
    3,290.69x = 4,542 × 1,875.18
  4. Step 4: Simplify right side
    3,290.69x = 8,517,067.56
  5. Step 5: Solve for x
    x = 8,517,067.56/3,290.69
  6. Step 6: Final answer
    x = 2,588.24

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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.