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Finding the Fourth Proportional to 3,950.48, 5,924.78 and 1,758

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Solution

The fourth proportional to 3,950.48, 5,924.78 and 1,758 is: 2,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.48 : 5,924.78 = 1,758 : x
  2. Step 2: Convert to fraction form
    3,950.48/5,924.78 = 1,758/x
  3. Step 3: Cross multiply
    3,950.48x = 5,924.78 × 1,758
  4. Step 4: Simplify right side
    3,950.48x = 10,415,763.24
  5. Step 5: Solve for x
    x = 10,415,763.24/3,950.48
  6. Step 6: Final answer
    x = 2,636.58

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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.