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Finding the Fourth Proportional to 5,959.25, 8,938.92 and 1,516.92

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Solution

The fourth proportional to 5,959.25, 8,938.92 and 1,516.92 is: 2,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.25 : 8,938.92 = 1,516.92 : x
  2. Step 2: Convert to fraction form
    5,959.25/8,938.92 = 1,516.92/x
  3. Step 3: Cross multiply
    5,959.25x = 8,938.92 × 1,516.92
  4. Step 4: Simplify right side
    5,959.25x = 13,559,581.83
  5. Step 5: Solve for x
    x = 13,559,581.83/5,959.25
  6. Step 6: Final answer
    x = 2,275.39

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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.