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Finding the Fourth Proportional to 3,815.71, 5,269.80 and 3,403.42

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Solution

The fourth proportional to 3,815.71, 5,269.80 and 3,403.42 is: 4,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.71 : 5,269.80 = 3,403.42 : x
  2. Step 2: Convert to fraction form
    3,815.71/5,269.80 = 3,403.42/x
  3. Step 3: Cross multiply
    3,815.71x = 5,269.80 × 3,403.42
  4. Step 4: Simplify right side
    3,815.71x = 17,935,342.72
  5. Step 5: Solve for x
    x = 17,935,342.72/3,815.71
  6. Step 6: Final answer
    x = 4,700.39

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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.