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Finding the Fourth Proportional to 5,797.62, 8,695.35 and 3,714.30

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Solution

The fourth proportional to 5,797.62, 8,695.35 and 3,714.30 is: 5,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.62 : 8,695.35 = 3,714.30 : x
  2. Step 2: Convert to fraction form
    5,797.62/8,695.35 = 3,714.30/x
  3. Step 3: Cross multiply
    5,797.62x = 8,695.35 × 3,714.30
  4. Step 4: Simplify right side
    5,797.62x = 32,297,138.51
  5. Step 5: Solve for x
    x = 32,297,138.51/5,797.62
  6. Step 6: Final answer
    x = 5,570.76

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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.