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Finding the Fourth Proportional to 5,894.16, 8,840 and 1,997.52

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Solution

The fourth proportional to 5,894.16, 8,840 and 1,997.52 is: 2,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.16 : 8,840 = 1,997.52 : x
  2. Step 2: Convert to fraction form
    5,894.16/8,840 = 1,997.52/x
  3. Step 3: Cross multiply
    5,894.16x = 8,840 × 1,997.52
  4. Step 4: Simplify right side
    5,894.16x = 17,658,076.80
  5. Step 5: Solve for x
    x = 17,658,076.80/5,894.16
  6. Step 6: Final answer
    x = 2,995.86

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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.