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Finding the Fourth Proportional to 5,988.68, 8,971.10 and 3,645.80

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Solution

The fourth proportional to 5,988.68, 8,971.10 and 3,645.80 is: 5,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.68 : 8,971.10 = 3,645.80 : x
  2. Step 2: Convert to fraction form
    5,988.68/8,971.10 = 3,645.80/x
  3. Step 3: Cross multiply
    5,988.68x = 8,971.10 × 3,645.80
  4. Step 4: Simplify right side
    5,988.68x = 32,706,836.38
  5. Step 5: Solve for x
    x = 32,706,836.38/5,988.68
  6. Step 6: Final answer
    x = 5,461.44

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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.