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Finding the Fourth Proportional to 4,804.92, 6,631.38 and 2,709

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Solution

The fourth proportional to 4,804.92, 6,631.38 and 2,709 is: 3,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.92 : 6,631.38 = 2,709 : x
  2. Step 2: Convert to fraction form
    4,804.92/6,631.38 = 2,709/x
  3. Step 3: Cross multiply
    4,804.92x = 6,631.38 × 2,709
  4. Step 4: Simplify right side
    4,804.92x = 17,964,408.42
  5. Step 5: Solve for x
    x = 17,964,408.42/4,804.92
  6. Step 6: Final answer
    x = 3,738.75

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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.