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Finding the Fourth Proportional to 3,515, 4,850.78 and 2,275.16

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Solution

The fourth proportional to 3,515, 4,850.78 and 2,275.16 is: 3,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515 : 4,850.78 = 2,275.16 : x
  2. Step 2: Convert to fraction form
    3,515/4,850.78 = 2,275.16/x
  3. Step 3: Cross multiply
    3,515x = 4,850.78 × 2,275.16
  4. Step 4: Simplify right side
    3,515x = 11,036,300.62
  5. Step 5: Solve for x
    x = 11,036,300.62/3,515
  6. Step 6: Final answer
    x = 3,139.77

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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.