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Finding the Fourth Proportional to 4,833.72, 6,670.14 and 2,709.08

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Solution

The fourth proportional to 4,833.72, 6,670.14 and 2,709.08 is: 3,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.72 : 6,670.14 = 2,709.08 : x
  2. Step 2: Convert to fraction form
    4,833.72/6,670.14 = 2,709.08/x
  3. Step 3: Cross multiply
    4,833.72x = 6,670.14 × 2,709.08
  4. Step 4: Simplify right side
    4,833.72x = 18,069,942.87
  5. Step 5: Solve for x
    x = 18,069,942.87/4,833.72
  6. Step 6: Final answer
    x = 3,738.31

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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.