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Finding the Fourth Proportional to 4,760.66, 7,130.21 and 2,297.24

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Solution

The fourth proportional to 4,760.66, 7,130.21 and 2,297.24 is: 3,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.66 : 7,130.21 = 2,297.24 : x
  2. Step 2: Convert to fraction form
    4,760.66/7,130.21 = 2,297.24/x
  3. Step 3: Cross multiply
    4,760.66x = 7,130.21 × 2,297.24
  4. Step 4: Simplify right side
    4,760.66x = 16,379,756.48
  5. Step 5: Solve for x
    x = 16,379,756.48/4,760.66
  6. Step 6: Final answer
    x = 3,440.65

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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.