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Finding the Fourth Proportional to 3,397.77, 5,088.02 and 1,934.37

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Solution

The fourth proportional to 3,397.77, 5,088.02 and 1,934.37 is: 2,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.77 : 5,088.02 = 1,934.37 : x
  2. Step 2: Convert to fraction form
    3,397.77/5,088.02 = 1,934.37/x
  3. Step 3: Cross multiply
    3,397.77x = 5,088.02 × 1,934.37
  4. Step 4: Simplify right side
    3,397.77x = 9,842,103.58
  5. Step 5: Solve for x
    x = 9,842,103.58/3,397.77
  6. Step 6: Final answer
    x = 2,896.64

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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.