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Finding the Fourth Proportional to 3,588.19, 5,382.29 and 991.06

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Solution

The fourth proportional to 3,588.19, 5,382.29 and 991.06 is: 1,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.19 : 5,382.29 = 991.06 : x
  2. Step 2: Convert to fraction form
    3,588.19/5,382.29 = 991.06/x
  3. Step 3: Cross multiply
    3,588.19x = 5,382.29 × 991.06
  4. Step 4: Simplify right side
    3,588.19x = 5,334,172.33
  5. Step 5: Solve for x
    x = 5,334,172.33/3,588.19
  6. Step 6: Final answer
    x = 1,486.59

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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.