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Finding the Fourth Proportional to 3,808.54, 5,713.47 and 1,344.79

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Solution

The fourth proportional to 3,808.54, 5,713.47 and 1,344.79 is: 2,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.54 : 5,713.47 = 1,344.79 : x
  2. Step 2: Convert to fraction form
    3,808.54/5,713.47 = 1,344.79/x
  3. Step 3: Cross multiply
    3,808.54x = 5,713.47 × 1,344.79
  4. Step 4: Simplify right side
    3,808.54x = 7,683,417.32
  5. Step 5: Solve for x
    x = 7,683,417.32/3,808.54
  6. Step 6: Final answer
    x = 2,017.42

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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.