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Finding the Fourth Proportional to 4,760.84, 7,145.87 and 2,297.39

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Solution

The fourth proportional to 4,760.84, 7,145.87 and 2,297.39 is: 3,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.84 : 7,145.87 = 2,297.39 : x
  2. Step 2: Convert to fraction form
    4,760.84/7,145.87 = 2,297.39/x
  3. Step 3: Cross multiply
    4,760.84x = 7,145.87 × 2,297.39
  4. Step 4: Simplify right side
    4,760.84x = 16,416,803.06
  5. Step 5: Solve for x
    x = 16,416,803.06/4,760.84
  6. Step 6: Final answer
    x = 3,448.30

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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.