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Finding the Fourth Proportional to 4,482.71, 6,735.05 and 4,234.04

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Solution

The fourth proportional to 4,482.71, 6,735.05 and 4,234.04 is: 6,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.71 : 6,735.05 = 4,234.04 : x
  2. Step 2: Convert to fraction form
    4,482.71/6,735.05 = 4,234.04/x
  3. Step 3: Cross multiply
    4,482.71x = 6,735.05 × 4,234.04
  4. Step 4: Simplify right side
    4,482.71x = 28,516,416.26
  5. Step 5: Solve for x
    x = 28,516,416.26/4,482.71
  6. Step 6: Final answer
    x = 6,361.43

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Why These Related Problems?

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