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Finding the Fourth Proportional to 4,845.42, 7,230.87 and 4,817.70

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Solution

The fourth proportional to 4,845.42, 7,230.87 and 4,817.70 is: 7,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845.42 : 7,230.87 = 4,817.70 : x
  2. Step 2: Convert to fraction form
    4,845.42/7,230.87 = 4,817.70/x
  3. Step 3: Cross multiply
    4,845.42x = 7,230.87 × 4,817.70
  4. Step 4: Simplify right side
    4,845.42x = 34,836,162.40
  5. Step 5: Solve for x
    x = 34,836,162.40/4,845.42
  6. Step 6: Final answer
    x = 7,189.50

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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.