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Finding the Fourth Proportional to 5,408.76, 7,462.38 and 4,270.84

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Solution

The fourth proportional to 5,408.76, 7,462.38 and 4,270.84 is: 5,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.76 : 7,462.38 = 4,270.84 : x
  2. Step 2: Convert to fraction form
    5,408.76/7,462.38 = 4,270.84/x
  3. Step 3: Cross multiply
    5,408.76x = 7,462.38 × 4,270.84
  4. Step 4: Simplify right side
    5,408.76x = 31,870,631.00
  5. Step 5: Solve for x
    x = 31,870,631.00/5,408.76
  6. Step 6: Final answer
    x = 5,892.42

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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.