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Finding the Fourth Proportional to 5,218.46, 7,815.69 and 3,021.74

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Solution

The fourth proportional to 5,218.46, 7,815.69 and 3,021.74 is: 4,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.46 : 7,815.69 = 3,021.74 : x
  2. Step 2: Convert to fraction form
    5,218.46/7,815.69 = 3,021.74/x
  3. Step 3: Cross multiply
    5,218.46x = 7,815.69 × 3,021.74
  4. Step 4: Simplify right side
    5,218.46x = 23,616,983.10
  5. Step 5: Solve for x
    x = 23,616,983.10/5,218.46
  6. Step 6: Final answer
    x = 4,525.66

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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.