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Finding the Fourth Proportional to 4,606.39, 6,355.01 and 2,834.92

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Solution

The fourth proportional to 4,606.39, 6,355.01 and 2,834.92 is: 3,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.39 : 6,355.01 = 2,834.92 : x
  2. Step 2: Convert to fraction form
    4,606.39/6,355.01 = 2,834.92/x
  3. Step 3: Cross multiply
    4,606.39x = 6,355.01 × 2,834.92
  4. Step 4: Simplify right side
    4,606.39x = 18,015,913.17
  5. Step 5: Solve for x
    x = 18,015,913.17/4,606.39
  6. Step 6: Final answer
    x = 3,911.07

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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.