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Finding the Fourth Proportional to 4,815.07, 6,643.38 and 2,825.71

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Solution

The fourth proportional to 4,815.07, 6,643.38 and 2,825.71 is: 3,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.07 : 6,643.38 = 2,825.71 : x
  2. Step 2: Convert to fraction form
    4,815.07/6,643.38 = 2,825.71/x
  3. Step 3: Cross multiply
    4,815.07x = 6,643.38 × 2,825.71
  4. Step 4: Simplify right side
    4,815.07x = 18,772,265.30
  5. Step 5: Solve for x
    x = 18,772,265.30/4,815.07
  6. Step 6: Final answer
    x = 3,898.65

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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.