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Finding the Fourth Proportional to 3,586.62, 4,945.54 and 2,326.02

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Solution

The fourth proportional to 3,586.62, 4,945.54 and 2,326.02 is: 3,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.62 : 4,945.54 = 2,326.02 : x
  2. Step 2: Convert to fraction form
    3,586.62/4,945.54 = 2,326.02/x
  3. Step 3: Cross multiply
    3,586.62x = 4,945.54 × 2,326.02
  4. Step 4: Simplify right side
    3,586.62x = 11,503,424.95
  5. Step 5: Solve for x
    x = 11,503,424.95/3,586.62
  6. Step 6: Final answer
    x = 3,207.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.