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Finding the Fourth Proportional to 4,213.74, 6,312.71 and 3,524.84

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Solution

The fourth proportional to 4,213.74, 6,312.71 and 3,524.84 is: 5,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.74 : 6,312.71 = 3,524.84 : x
  2. Step 2: Convert to fraction form
    4,213.74/6,312.71 = 3,524.84/x
  3. Step 3: Cross multiply
    4,213.74x = 6,312.71 × 3,524.84
  4. Step 4: Simplify right side
    4,213.74x = 22,251,261.15
  5. Step 5: Solve for x
    x = 22,251,261.15/4,213.74
  6. Step 6: Final answer
    x = 5,280.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.