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Finding the Fourth Proportional to 5,027.86, 7,552.86 and 4,872.34

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Solution

The fourth proportional to 5,027.86, 7,552.86 and 4,872.34 is: 7,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.86 : 7,552.86 = 4,872.34 : x
  2. Step 2: Convert to fraction form
    5,027.86/7,552.86 = 4,872.34/x
  3. Step 3: Cross multiply
    5,027.86x = 7,552.86 × 4,872.34
  4. Step 4: Simplify right side
    5,027.86x = 36,800,101.89
  5. Step 5: Solve for x
    x = 36,800,101.89/5,027.86
  6. Step 6: Final answer
    x = 7,319.24

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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.