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Finding the Fourth Proportional to 4,224.87, 6,337.32 and 1,302.78

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Solution

The fourth proportional to 4,224.87, 6,337.32 and 1,302.78 is: 1,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.87 : 6,337.32 = 1,302.78 : x
  2. Step 2: Convert to fraction form
    4,224.87/6,337.32 = 1,302.78/x
  3. Step 3: Cross multiply
    4,224.87x = 6,337.32 × 1,302.78
  4. Step 4: Simplify right side
    4,224.87x = 8,256,133.75
  5. Step 5: Solve for x
    x = 8,256,133.75/4,224.87
  6. Step 6: Final answer
    x = 1,954.17

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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.