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Finding the Fourth Proportional to 4,607, 6,358.26 and 2,744

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Solution

The fourth proportional to 4,607, 6,358.26 and 2,744 is: 3,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607 : 6,358.26 = 2,744 : x
  2. Step 2: Convert to fraction form
    4,607/6,358.26 = 2,744/x
  3. Step 3: Cross multiply
    4,607x = 6,358.26 × 2,744
  4. Step 4: Simplify right side
    4,607x = 17,447,065.44
  5. Step 5: Solve for x
    x = 17,447,065.44/4,607
  6. Step 6: Final answer
    x = 3,787.08

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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.