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Finding the Fourth Proportional to 4,920.72, 6,796.08 and 3,815.01

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Solution

The fourth proportional to 4,920.72, 6,796.08 and 3,815.01 is: 5,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.72 : 6,796.08 = 3,815.01 : x
  2. Step 2: Convert to fraction form
    4,920.72/6,796.08 = 3,815.01/x
  3. Step 3: Cross multiply
    4,920.72x = 6,796.08 × 3,815.01
  4. Step 4: Simplify right side
    4,920.72x = 25,927,113.16
  5. Step 5: Solve for x
    x = 25,927,113.16/4,920.72
  6. Step 6: Final answer
    x = 5,268.97

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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.