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Finding the Fourth Proportional to 4,576.02, 6,830.92 and 4,233.62

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Solution

The fourth proportional to 4,576.02, 6,830.92 and 4,233.62 is: 6,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.02 : 6,830.92 = 4,233.62 : x
  2. Step 2: Convert to fraction form
    4,576.02/6,830.92 = 4,233.62/x
  3. Step 3: Cross multiply
    4,576.02x = 6,830.92 × 4,233.62
  4. Step 4: Simplify right side
    4,576.02x = 28,919,519.53
  5. Step 5: Solve for x
    x = 28,919,519.53/4,576.02
  6. Step 6: Final answer
    x = 6,319.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.