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Finding the Fourth Proportional to 3,685.91, 5,529.26 and 1,494.65

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Solution

The fourth proportional to 3,685.91, 5,529.26 and 1,494.65 is: 2,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.91 : 5,529.26 = 1,494.65 : x
  2. Step 2: Convert to fraction form
    3,685.91/5,529.26 = 1,494.65/x
  3. Step 3: Cross multiply
    3,685.91x = 5,529.26 × 1,494.65
  4. Step 4: Simplify right side
    3,685.91x = 8,264,326.02
  5. Step 5: Solve for x
    x = 8,264,326.02/3,685.91
  6. Step 6: Final answer
    x = 2,242.14

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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.