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Finding the Fourth Proportional to 5,717.40, 8,027.40 and 5,717.40

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Solution

The fourth proportional to 5,717.40, 8,027.40 and 5,717.40 is: 8,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.40 : 8,027.40 = 5,717.40 : x
  2. Step 2: Convert to fraction form
    5,717.40/8,027.40 = 5,717.40/x
  3. Step 3: Cross multiply
    5,717.40x = 8,027.40 × 5,717.40
  4. Step 4: Simplify right side
    5,717.40x = 45,895,856.76
  5. Step 5: Solve for x
    x = 45,895,856.76/5,717.40
  6. Step 6: Final answer
    x = 8,027.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.