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Finding the Fourth Proportional to 3,588.73, 5,384.48 and 1,399.01

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Solution

The fourth proportional to 3,588.73, 5,384.48 and 1,399.01 is: 2,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.73 : 5,384.48 = 1,399.01 : x
  2. Step 2: Convert to fraction form
    3,588.73/5,384.48 = 1,399.01/x
  3. Step 3: Cross multiply
    3,588.73x = 5,384.48 × 1,399.01
  4. Step 4: Simplify right side
    3,588.73x = 7,532,941.36
  5. Step 5: Solve for x
    x = 7,532,941.36/3,588.73
  6. Step 6: Final answer
    x = 2,099.05

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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.