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Finding the Fourth Proportional to 5,588.64, 8,380.67 and 2,078.87

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Solution

The fourth proportional to 5,588.64, 8,380.67 and 2,078.87 is: 3,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.64 : 8,380.67 = 2,078.87 : x
  2. Step 2: Convert to fraction form
    5,588.64/8,380.67 = 2,078.87/x
  3. Step 3: Cross multiply
    5,588.64x = 8,380.67 × 2,078.87
  4. Step 4: Simplify right side
    5,588.64x = 17,422,271.15
  5. Step 5: Solve for x
    x = 17,422,271.15/5,588.64
  6. Step 6: Final answer
    x = 3,117.44

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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.