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Finding the Fourth Proportional to 4,829.92, 7,250.01 and 4,278.22

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Solution

The fourth proportional to 4,829.92, 7,250.01 and 4,278.22 is: 6,421.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.92 : 7,250.01 = 4,278.22 : x
  2. Step 2: Convert to fraction form
    4,829.92/7,250.01 = 4,278.22/x
  3. Step 3: Cross multiply
    4,829.92x = 7,250.01 × 4,278.22
  4. Step 4: Simplify right side
    4,829.92x = 31,017,137.78
  5. Step 5: Solve for x
    x = 31,017,137.78/4,829.92
  6. Step 6: Final answer
    x = 6,421.87

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