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Finding the Fourth Proportional to 4,895.39, 7,343.09 and 4,027.88

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Solution

The fourth proportional to 4,895.39, 7,343.09 and 4,027.88 is: 6,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.39 : 7,343.09 = 4,027.88 : x
  2. Step 2: Convert to fraction form
    4,895.39/7,343.09 = 4,027.88/x
  3. Step 3: Cross multiply
    4,895.39x = 7,343.09 × 4,027.88
  4. Step 4: Simplify right side
    4,895.39x = 29,577,085.35
  5. Step 5: Solve for x
    x = 29,577,085.35/4,895.39
  6. Step 6: Final answer
    x = 6,041.82

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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.