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Finding the Fourth Proportional to 5,860.68, 8,089.62 and 3,873

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Solution

The fourth proportional to 5,860.68, 8,089.62 and 3,873 is: 5,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.68 : 8,089.62 = 3,873 : x
  2. Step 2: Convert to fraction form
    5,860.68/8,089.62 = 3,873/x
  3. Step 3: Cross multiply
    5,860.68x = 8,089.62 × 3,873
  4. Step 4: Simplify right side
    5,860.68x = 31,331,098.26
  5. Step 5: Solve for x
    x = 31,331,098.26/5,860.68
  6. Step 6: Final answer
    x = 5,345.98

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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.