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Finding the Fourth Proportional to 5,978.52, 8,968.98 and 2,083.08

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Solution

The fourth proportional to 5,978.52, 8,968.98 and 2,083.08 is: 3,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.52 : 8,968.98 = 2,083.08 : x
  2. Step 2: Convert to fraction form
    5,978.52/8,968.98 = 2,083.08/x
  3. Step 3: Cross multiply
    5,978.52x = 8,968.98 × 2,083.08
  4. Step 4: Simplify right side
    5,978.52x = 18,683,102.86
  5. Step 5: Solve for x
    x = 18,683,102.86/5,978.52
  6. Step 6: Final answer
    x = 3,125.04

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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.