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Finding the Fourth Proportional to 5,979.60, 8,968.16 and 5,683.20

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Solution

The fourth proportional to 5,979.60, 8,968.16 and 5,683.20 is: 8,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.60 : 8,968.16 = 5,683.20 : x
  2. Step 2: Convert to fraction form
    5,979.60/8,968.16 = 5,683.20/x
  3. Step 3: Cross multiply
    5,979.60x = 8,968.16 × 5,683.20
  4. Step 4: Simplify right side
    5,979.60x = 50,967,818.50
  5. Step 5: Solve for x
    x = 50,967,818.50/5,979.60
  6. Step 6: Final answer
    x = 8,523.62

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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.