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Finding the Fourth Proportional to 3,888.78, 5,834.04 and 1,291.68

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Solution

The fourth proportional to 3,888.78, 5,834.04 and 1,291.68 is: 1,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.78 : 5,834.04 = 1,291.68 : x
  2. Step 2: Convert to fraction form
    3,888.78/5,834.04 = 1,291.68/x
  3. Step 3: Cross multiply
    3,888.78x = 5,834.04 × 1,291.68
  4. Step 4: Simplify right side
    3,888.78x = 7,535,712.79
  5. Step 5: Solve for x
    x = 7,535,712.79/3,888.78
  6. Step 6: Final answer
    x = 1,937.81

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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.