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Finding the Fourth Proportional to 4,950.76, 7,422.06 and 4,024

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Solution

The fourth proportional to 4,950.76, 7,422.06 and 4,024 is: 6,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.76 : 7,422.06 = 4,024 : x
  2. Step 2: Convert to fraction form
    4,950.76/7,422.06 = 4,024/x
  3. Step 3: Cross multiply
    4,950.76x = 7,422.06 × 4,024
  4. Step 4: Simplify right side
    4,950.76x = 29,866,369.44
  5. Step 5: Solve for x
    x = 29,866,369.44/4,950.76
  6. Step 6: Final answer
    x = 6,032.68

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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.