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Finding the Fourth Proportional to 4,950.22, 7,424.61 and 1,871.50

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Solution

The fourth proportional to 4,950.22, 7,424.61 and 1,871.50 is: 2,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.22 : 7,424.61 = 1,871.50 : x
  2. Step 2: Convert to fraction form
    4,950.22/7,424.61 = 1,871.50/x
  3. Step 3: Cross multiply
    4,950.22x = 7,424.61 × 1,871.50
  4. Step 4: Simplify right side
    4,950.22x = 13,895,157.62
  5. Step 5: Solve for x
    x = 13,895,157.62/4,950.22
  6. Step 6: Final answer
    x = 2,806.98

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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.