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Finding the Fourth Proportional to 3,584.74, 5,403.71 and 3,273.32

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Solution

The fourth proportional to 3,584.74, 5,403.71 and 3,273.32 is: 4,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.74 : 5,403.71 = 3,273.32 : x
  2. Step 2: Convert to fraction form
    3,584.74/5,403.71 = 3,273.32/x
  3. Step 3: Cross multiply
    3,584.74x = 5,403.71 × 3,273.32
  4. Step 4: Simplify right side
    3,584.74x = 17,688,101.31
  5. Step 5: Solve for x
    x = 17,688,101.31/3,584.74
  6. Step 6: Final answer
    x = 4,934.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.