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Finding the Fourth Proportional to 5,408.56, 7,463.82 and 2,924.56

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Solution

The fourth proportional to 5,408.56, 7,463.82 and 2,924.56 is: 4,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.56 : 7,463.82 = 2,924.56 : x
  2. Step 2: Convert to fraction form
    5,408.56/7,463.82 = 2,924.56/x
  3. Step 3: Cross multiply
    5,408.56x = 7,463.82 × 2,924.56
  4. Step 4: Simplify right side
    5,408.56x = 21,828,389.42
  5. Step 5: Solve for x
    x = 21,828,389.42/5,408.56
  6. Step 6: Final answer
    x = 4,035.90

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1.5x scale

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.