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Finding the Fourth Proportional to 5,978.47, 8,968.91 and 2,083.18

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Solution

The fourth proportional to 5,978.47, 8,968.91 and 2,083.18 is: 3,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.47 : 8,968.91 = 2,083.18 : x
  2. Step 2: Convert to fraction form
    5,978.47/8,968.91 = 2,083.18/x
  3. Step 3: Cross multiply
    5,978.47x = 8,968.91 × 2,083.18
  4. Step 4: Simplify right side
    5,978.47x = 18,683,853.93
  5. Step 5: Solve for x
    x = 18,683,853.93/5,978.47
  6. Step 6: Final answer
    x = 3,125.19

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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.