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Finding the Fourth Proportional to 3,686.52, 5,529.74 and 950.52

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Solution

The fourth proportional to 3,686.52, 5,529.74 and 950.52 is: 1,425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.52 : 5,529.74 = 950.52 : x
  2. Step 2: Convert to fraction form
    3,686.52/5,529.74 = 950.52/x
  3. Step 3: Cross multiply
    3,686.52x = 5,529.74 × 950.52
  4. Step 4: Simplify right side
    3,686.52x = 5,256,128.46
  5. Step 5: Solve for x
    x = 5,256,128.46/3,686.52
  6. Step 6: Final answer
    x = 1,425.77

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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.