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Finding the Fourth Proportional to 3,580.64, 4,943.42 and 2,322.08

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Solution

The fourth proportional to 3,580.64, 4,943.42 and 2,322.08 is: 3,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.64 : 4,943.42 = 2,322.08 : x
  2. Step 2: Convert to fraction form
    3,580.64/4,943.42 = 2,322.08/x
  3. Step 3: Cross multiply
    3,580.64x = 4,943.42 × 2,322.08
  4. Step 4: Simplify right side
    3,580.64x = 11,479,016.71
  5. Step 5: Solve for x
    x = 11,479,016.71/3,580.64
  6. Step 6: Final answer
    x = 3,205.86

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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.