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Finding the Fourth Proportional to 4,767.58, 7,145.16 and 2,297.35

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Solution

The fourth proportional to 4,767.58, 7,145.16 and 2,297.35 is: 3,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.58 : 7,145.16 = 2,297.35 : x
  2. Step 2: Convert to fraction form
    4,767.58/7,145.16 = 2,297.35/x
  3. Step 3: Cross multiply
    4,767.58x = 7,145.16 × 2,297.35
  4. Step 4: Simplify right side
    4,767.58x = 16,414,933.33
  5. Step 5: Solve for x
    x = 16,414,933.33/4,767.58
  6. Step 6: Final answer
    x = 3,443.03

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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.