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Finding the Fourth Proportional to 3,588.25, 4,951.80 and 2,191

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Solution

The fourth proportional to 3,588.25, 4,951.80 and 2,191 is: 3,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.25 : 4,951.80 = 2,191 : x
  2. Step 2: Convert to fraction form
    3,588.25/4,951.80 = 2,191/x
  3. Step 3: Cross multiply
    3,588.25x = 4,951.80 × 2,191
  4. Step 4: Simplify right side
    3,588.25x = 10,849,393.80
  5. Step 5: Solve for x
    x = 10,849,393.80/3,588.25
  6. Step 6: Final answer
    x = 3,023.59

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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.