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Finding the Fourth Proportional to 4,224.57, 6,337.80 and 1,302.90

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Solution

The fourth proportional to 4,224.57, 6,337.80 and 1,302.90 is: 1,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.57 : 6,337.80 = 1,302.90 : x
  2. Step 2: Convert to fraction form
    4,224.57/6,337.80 = 1,302.90/x
  3. Step 3: Cross multiply
    4,224.57x = 6,337.80 × 1,302.90
  4. Step 4: Simplify right side
    4,224.57x = 8,257,519.62
  5. Step 5: Solve for x
    x = 8,257,519.62/4,224.57
  6. Step 6: Final answer
    x = 1,954.64

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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.