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Finding the Fourth Proportional to 5,866.41, 8,799.62 and 1,424.05

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Solution

The fourth proportional to 5,866.41, 8,799.62 and 1,424.05 is: 2,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.41 : 8,799.62 = 1,424.05 : x
  2. Step 2: Convert to fraction form
    5,866.41/8,799.62 = 1,424.05/x
  3. Step 3: Cross multiply
    5,866.41x = 8,799.62 × 1,424.05
  4. Step 4: Simplify right side
    5,866.41x = 12,531,121.75
  5. Step 5: Solve for x
    x = 12,531,121.75/5,866.41
  6. Step 6: Final answer
    x = 2,136.08

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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.