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Finding the Fourth Proportional to 4,305.82, 5,942.09 and 2,417.82

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Solution

The fourth proportional to 4,305.82, 5,942.09 and 2,417.82 is: 3,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.82 : 5,942.09 = 2,417.82 : x
  2. Step 2: Convert to fraction form
    4,305.82/5,942.09 = 2,417.82/x
  3. Step 3: Cross multiply
    4,305.82x = 5,942.09 × 2,417.82
  4. Step 4: Simplify right side
    4,305.82x = 14,366,904.04
  5. Step 5: Solve for x
    x = 14,366,904.04/4,305.82
  6. Step 6: Final answer
    x = 3,336.62

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1.5x scale

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.