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Finding the Fourth Proportional to 5,700.72, 7,848.85 and 5,027.96

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Solution

The fourth proportional to 5,700.72, 7,848.85 and 5,027.96 is: 6,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.72 : 7,848.85 = 5,027.96 : x
  2. Step 2: Convert to fraction form
    5,700.72/7,848.85 = 5,027.96/x
  3. Step 3: Cross multiply
    5,700.72x = 7,848.85 × 5,027.96
  4. Step 4: Simplify right side
    5,700.72x = 39,463,750.03
  5. Step 5: Solve for x
    x = 39,463,750.03/5,700.72
  6. Step 6: Final answer
    x = 6,922.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.