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Finding the Fourth Proportional to 4,950.64, 7,415 and 2,020.04

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Solution

The fourth proportional to 4,950.64, 7,415 and 2,020.04 is: 3,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.64 : 7,415 = 2,020.04 : x
  2. Step 2: Convert to fraction form
    4,950.64/7,415 = 2,020.04/x
  3. Step 3: Cross multiply
    4,950.64x = 7,415 × 2,020.04
  4. Step 4: Simplify right side
    4,950.64x = 14,978,596.60
  5. Step 5: Solve for x
    x = 14,978,596.60/4,950.64
  6. Step 6: Final answer
    x = 3,025.59

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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.