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Finding the Fourth Proportional to 3,588.04, 5,381.34 and 991.12

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Solution

The fourth proportional to 3,588.04, 5,381.34 and 991.12 is: 1,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.04 : 5,381.34 = 991.12 : x
  2. Step 2: Convert to fraction form
    3,588.04/5,381.34 = 991.12/x
  3. Step 3: Cross multiply
    3,588.04x = 5,381.34 × 991.12
  4. Step 4: Simplify right side
    3,588.04x = 5,333,553.70
  5. Step 5: Solve for x
    x = 5,333,553.70/3,588.04
  6. Step 6: Final answer
    x = 1,486.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.