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Finding the Fourth Proportional to 5,234.20, 7,851.04 and 5,049.64

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Solution

The fourth proportional to 5,234.20, 7,851.04 and 5,049.64 is: 7,574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.20 : 7,851.04 = 5,049.64 : x
  2. Step 2: Convert to fraction form
    5,234.20/7,851.04 = 5,049.64/x
  3. Step 3: Cross multiply
    5,234.20x = 7,851.04 × 5,049.64
  4. Step 4: Simplify right side
    5,234.20x = 39,644,925.63
  5. Step 5: Solve for x
    x = 39,644,925.63/5,234.20
  6. Step 6: Final answer
    x = 7,574.21

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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.