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Finding the Fourth Proportional to 5,714.87, 8,559.92 and 2,748.75

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Solution

The fourth proportional to 5,714.87, 8,559.92 and 2,748.75 is: 4,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.87 : 8,559.92 = 2,748.75 : x
  2. Step 2: Convert to fraction form
    5,714.87/8,559.92 = 2,748.75/x
  3. Step 3: Cross multiply
    5,714.87x = 8,559.92 × 2,748.75
  4. Step 4: Simplify right side
    5,714.87x = 23,529,066.36
  5. Step 5: Solve for x
    x = 23,529,066.36/5,714.87
  6. Step 6: Final answer
    x = 4,117.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.