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Finding the Fourth Proportional to 3,588.14, 5,381.80 and 991.28

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Solution

The fourth proportional to 3,588.14, 5,381.80 and 991.28 is: 1,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.14 : 5,381.80 = 991.28 : x
  2. Step 2: Convert to fraction form
    3,588.14/5,381.80 = 991.28/x
  3. Step 3: Cross multiply
    3,588.14x = 5,381.80 × 991.28
  4. Step 4: Simplify right side
    3,588.14x = 5,334,870.70
  5. Step 5: Solve for x
    x = 5,334,870.70/3,588.14
  6. Step 6: Final answer
    x = 1,486.81

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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.