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Finding the Fourth Proportional to 4,815.54, 6,639.02 and 3,824.10

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Solution

The fourth proportional to 4,815.54, 6,639.02 and 3,824.10 is: 5,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.54 : 6,639.02 = 3,824.10 : x
  2. Step 2: Convert to fraction form
    4,815.54/6,639.02 = 3,824.10/x
  3. Step 3: Cross multiply
    4,815.54x = 6,639.02 × 3,824.10
  4. Step 4: Simplify right side
    4,815.54x = 25,388,276.38
  5. Step 5: Solve for x
    x = 25,388,276.38/4,815.54
  6. Step 6: Final answer
    x = 5,272.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.