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Finding the Fourth Proportional to 3,356.72, 4,634.38 and 2,162.24

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Solution

The fourth proportional to 3,356.72, 4,634.38 and 2,162.24 is: 2,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.72 : 4,634.38 = 2,162.24 : x
  2. Step 2: Convert to fraction form
    3,356.72/4,634.38 = 2,162.24/x
  3. Step 3: Cross multiply
    3,356.72x = 4,634.38 × 2,162.24
  4. Step 4: Simplify right side
    3,356.72x = 10,020,641.81
  5. Step 5: Solve for x
    x = 10,020,641.81/3,356.72
  6. Step 6: Final answer
    x = 2,985.25

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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.