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Finding the Fourth Proportional to 3,953.14, 5,926.19 and 1,488.04

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Solution

The fourth proportional to 3,953.14, 5,926.19 and 1,488.04 is: 2,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.14 : 5,926.19 = 1,488.04 : x
  2. Step 2: Convert to fraction form
    3,953.14/5,926.19 = 1,488.04/x
  3. Step 3: Cross multiply
    3,953.14x = 5,926.19 × 1,488.04
  4. Step 4: Simplify right side
    3,953.14x = 8,818,385.51
  5. Step 5: Solve for x
    x = 8,818,385.51/3,953.14
  6. Step 6: Final answer
    x = 2,230.73

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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.