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Finding the Fourth Proportional to 4,817.60, 7,215.60 and 4,169.60

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Solution

The fourth proportional to 4,817.60, 7,215.60 and 4,169.60 is: 6,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.60 : 7,215.60 = 4,169.60 : x
  2. Step 2: Convert to fraction form
    4,817.60/7,215.60 = 4,169.60/x
  3. Step 3: Cross multiply
    4,817.60x = 7,215.60 × 4,169.60
  4. Step 4: Simplify right side
    4,817.60x = 30,086,165.76
  5. Step 5: Solve for x
    x = 30,086,165.76/4,817.60
  6. Step 6: Final answer
    x = 6,245.05

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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.