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Finding the Fourth Proportional to 3,525.71, 4,865.11 and 1,953.65

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Solution

The fourth proportional to 3,525.71, 4,865.11 and 1,953.65 is: 2,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.71 : 4,865.11 = 1,953.65 : x
  2. Step 2: Convert to fraction form
    3,525.71/4,865.11 = 1,953.65/x
  3. Step 3: Cross multiply
    3,525.71x = 4,865.11 × 1,953.65
  4. Step 4: Simplify right side
    3,525.71x = 9,504,712.38
  5. Step 5: Solve for x
    x = 9,504,712.38/3,525.71
  6. Step 6: Final answer
    x = 2,695.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.