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Finding the Fourth Proportional to 4,806.56, 7,215.24 and 3,723.98

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Solution

The fourth proportional to 4,806.56, 7,215.24 and 3,723.98 is: 5,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.56 : 7,215.24 = 3,723.98 : x
  2. Step 2: Convert to fraction form
    4,806.56/7,215.24 = 3,723.98/x
  3. Step 3: Cross multiply
    4,806.56x = 7,215.24 × 3,723.98
  4. Step 4: Simplify right side
    4,806.56x = 26,869,409.46
  5. Step 5: Solve for x
    x = 26,869,409.46/4,806.56
  6. Step 6: Final answer
    x = 5,590.15

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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.