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Finding the Fourth Proportional to 5,637.96, 7,774.65 and 3,399.39

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Solution

The fourth proportional to 5,637.96, 7,774.65 and 3,399.39 is: 4,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.96 : 7,774.65 = 3,399.39 : x
  2. Step 2: Convert to fraction form
    5,637.96/7,774.65 = 3,399.39/x
  3. Step 3: Cross multiply
    5,637.96x = 7,774.65 × 3,399.39
  4. Step 4: Simplify right side
    5,637.96x = 26,429,067.46
  5. Step 5: Solve for x
    x = 26,429,067.46/5,637.96
  6. Step 6: Final answer
    x = 4,687.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.