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Finding the Fourth Proportional to 5,952.48, 8,916.61 and 3,866.16

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Solution

The fourth proportional to 5,952.48, 8,916.61 and 3,866.16 is: 5,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.48 : 8,916.61 = 3,866.16 : x
  2. Step 2: Convert to fraction form
    5,952.48/8,916.61 = 3,866.16/x
  3. Step 3: Cross multiply
    5,952.48x = 8,916.61 × 3,866.16
  4. Step 4: Simplify right side
    5,952.48x = 34,473,021.59
  5. Step 5: Solve for x
    x = 34,473,021.59/5,952.48
  6. Step 6: Final answer
    x = 5,791.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.