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Finding the Fourth Proportional to 3,587.21, 5,380.65 and 990.08

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Solution

The fourth proportional to 3,587.21, 5,380.65 and 990.08 is: 1,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.21 : 5,380.65 = 990.08 : x
  2. Step 2: Convert to fraction form
    3,587.21/5,380.65 = 990.08/x
  3. Step 3: Cross multiply
    3,587.21x = 5,380.65 × 990.08
  4. Step 4: Simplify right side
    3,587.21x = 5,327,247.05
  5. Step 5: Solve for x
    x = 5,327,247.05/3,587.21
  6. Step 6: Final answer
    x = 1,485.07

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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.