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Finding the Fourth Proportional to 5,695.30, 8,540.88 and 2,408.64

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Solution

The fourth proportional to 5,695.30, 8,540.88 and 2,408.64 is: 3,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.30 : 8,540.88 = 2,408.64 : x
  2. Step 2: Convert to fraction form
    5,695.30/8,540.88 = 2,408.64/x
  3. Step 3: Cross multiply
    5,695.30x = 8,540.88 × 2,408.64
  4. Step 4: Simplify right side
    5,695.30x = 20,571,905.20
  5. Step 5: Solve for x
    x = 20,571,905.20/5,695.30
  6. Step 6: Final answer
    x = 3,612.08

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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.