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Finding the Fourth Proportional to 4,624.64, 6,372.72 and 3,924.80

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Solution

The fourth proportional to 4,624.64, 6,372.72 and 3,924.80 is: 5,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.64 : 6,372.72 = 3,924.80 : x
  2. Step 2: Convert to fraction form
    4,624.64/6,372.72 = 3,924.80/x
  3. Step 3: Cross multiply
    4,624.64x = 6,372.72 × 3,924.80
  4. Step 4: Simplify right side
    4,624.64x = 25,011,651.46
  5. Step 5: Solve for x
    x = 25,011,651.46/4,624.64
  6. Step 6: Final answer
    x = 5,408.35

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