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Finding the Fourth Proportional to 5,647.64, 8,468.78 and 2,088.60

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Solution

The fourth proportional to 5,647.64, 8,468.78 and 2,088.60 is: 3,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.64 : 8,468.78 = 2,088.60 : x
  2. Step 2: Convert to fraction form
    5,647.64/8,468.78 = 2,088.60/x
  3. Step 3: Cross multiply
    5,647.64x = 8,468.78 × 2,088.60
  4. Step 4: Simplify right side
    5,647.64x = 17,687,893.91
  5. Step 5: Solve for x
    x = 17,687,893.91/5,647.64
  6. Step 6: Final answer
    x = 3,131.91

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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.