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Finding the Fourth Proportional to 5,795.61, 7,997.94 and 3,143.01

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Solution

The fourth proportional to 5,795.61, 7,997.94 and 3,143.01 is: 4,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.61 : 7,997.94 = 3,143.01 : x
  2. Step 2: Convert to fraction form
    5,795.61/7,997.94 = 3,143.01/x
  3. Step 3: Cross multiply
    5,795.61x = 7,997.94 × 3,143.01
  4. Step 4: Simplify right side
    5,795.61x = 25,137,605.40
  5. Step 5: Solve for x
    x = 25,137,605.40/5,795.61
  6. Step 6: Final answer
    x = 4,337.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.