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Finding the Fourth Proportional to 4,770.18, 7,158 and 3,727.26

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Solution

The fourth proportional to 4,770.18, 7,158 and 3,727.26 is: 5,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.18 : 7,158 = 3,727.26 : x
  2. Step 2: Convert to fraction form
    4,770.18/7,158 = 3,727.26/x
  3. Step 3: Cross multiply
    4,770.18x = 7,158 × 3,727.26
  4. Step 4: Simplify right side
    4,770.18x = 26,679,727.08
  5. Step 5: Solve for x
    x = 26,679,727.08/4,770.18
  6. Step 6: Final answer
    x = 5,593.02

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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.