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Finding the Fourth Proportional to 4,858.56, 7,281.50 and 2,225.12

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Solution

The fourth proportional to 4,858.56, 7,281.50 and 2,225.12 is: 3,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.56 : 7,281.50 = 2,225.12 : x
  2. Step 2: Convert to fraction form
    4,858.56/7,281.50 = 2,225.12/x
  3. Step 3: Cross multiply
    4,858.56x = 7,281.50 × 2,225.12
  4. Step 4: Simplify right side
    4,858.56x = 16,202,163.75
  5. Step 5: Solve for x
    x = 16,202,163.75/4,858.56
  6. Step 6: Final answer
    x = 3,334.77

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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.