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Finding the Fourth Proportional to 5,978.96, 8,968.62 and 2,083.40

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Solution

The fourth proportional to 5,978.96, 8,968.62 and 2,083.40 is: 3,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.96 : 8,968.62 = 2,083.40 : x
  2. Step 2: Convert to fraction form
    5,978.96/8,968.62 = 2,083.40/x
  3. Step 3: Cross multiply
    5,978.96x = 8,968.62 × 2,083.40
  4. Step 4: Simplify right side
    5,978.96x = 18,685,222.91
  5. Step 5: Solve for x
    x = 18,685,222.91/5,978.96
  6. Step 6: Final answer
    x = 3,125.16

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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.