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Finding the Fourth Proportional to 4,770.36, 7,145.74 and 2,297.88

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Solution

The fourth proportional to 4,770.36, 7,145.74 and 2,297.88 is: 3,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.36 : 7,145.74 = 2,297.88 : x
  2. Step 2: Convert to fraction form
    4,770.36/7,145.74 = 2,297.88/x
  3. Step 3: Cross multiply
    4,770.36x = 7,145.74 × 2,297.88
  4. Step 4: Simplify right side
    4,770.36x = 16,420,053.03
  5. Step 5: Solve for x
    x = 16,420,053.03/4,770.36
  6. Step 6: Final answer
    x = 3,442.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.