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Finding the Fourth Proportional to 4,224.96, 6,294.96 and 3,960

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Solution

The fourth proportional to 4,224.96, 6,294.96 and 3,960 is: 5,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.96 : 6,294.96 = 3,960 : x
  2. Step 2: Convert to fraction form
    4,224.96/6,294.96 = 3,960/x
  3. Step 3: Cross multiply
    4,224.96x = 6,294.96 × 3,960
  4. Step 4: Simplify right side
    4,224.96x = 24,928,041.60
  5. Step 5: Solve for x
    x = 24,928,041.60/4,224.96
  6. Step 6: Final answer
    x = 5,900.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.