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Finding the Fourth Proportional to 5,987.71, 8,973.82 and 4,135.87

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Solution

The fourth proportional to 5,987.71, 8,973.82 and 4,135.87 is: 6,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.71 : 8,973.82 = 4,135.87 : x
  2. Step 2: Convert to fraction form
    5,987.71/8,973.82 = 4,135.87/x
  3. Step 3: Cross multiply
    5,987.71x = 8,973.82 × 4,135.87
  4. Step 4: Simplify right side
    5,987.71x = 37,114,552.92
  5. Step 5: Solve for x
    x = 37,114,552.92/5,987.71
  6. Step 6: Final answer
    x = 6,198.46

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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.