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Finding the Fourth Proportional to 3,743.69, 5,616.11 and 1,277.93

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Solution

The fourth proportional to 3,743.69, 5,616.11 and 1,277.93 is: 1,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.69 : 5,616.11 = 1,277.93 : x
  2. Step 2: Convert to fraction form
    3,743.69/5,616.11 = 1,277.93/x
  3. Step 3: Cross multiply
    3,743.69x = 5,616.11 × 1,277.93
  4. Step 4: Simplify right side
    3,743.69x = 7,176,977.50
  5. Step 5: Solve for x
    x = 7,176,977.50/3,743.69
  6. Step 6: Final answer
    x = 1,917.09

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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.