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Finding the Fourth Proportional to 5,957.16, 8,919.30 and 3,021.12

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Solution

The fourth proportional to 5,957.16, 8,919.30 and 3,021.12 is: 4,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.16 : 8,919.30 = 3,021.12 : x
  2. Step 2: Convert to fraction form
    5,957.16/8,919.30 = 3,021.12/x
  3. Step 3: Cross multiply
    5,957.16x = 8,919.30 × 3,021.12
  4. Step 4: Simplify right side
    5,957.16x = 26,946,275.62
  5. Step 5: Solve for x
    x = 26,946,275.62/5,957.16
  6. Step 6: Final answer
    x = 4,523.34

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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.