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Finding the Fourth Proportional to 5,959.65, 8,938.74 and 3,462.21

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Solution

The fourth proportional to 5,959.65, 8,938.74 and 3,462.21 is: 5,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.65 : 8,938.74 = 3,462.21 : x
  2. Step 2: Convert to fraction form
    5,959.65/8,938.74 = 3,462.21/x
  3. Step 3: Cross multiply
    5,959.65x = 8,938.74 × 3,462.21
  4. Step 4: Simplify right side
    5,959.65x = 30,947,795.02
  5. Step 5: Solve for x
    x = 30,947,795.02/5,959.65
  6. Step 6: Final answer
    x = 5,192.89

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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.