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Finding the Fourth Proportional to 4,941.88, 7,410.10 and 2,022.24

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Solution

The fourth proportional to 4,941.88, 7,410.10 and 2,022.24 is: 3,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.88 : 7,410.10 = 2,022.24 : x
  2. Step 2: Convert to fraction form
    4,941.88/7,410.10 = 2,022.24/x
  3. Step 3: Cross multiply
    4,941.88x = 7,410.10 × 2,022.24
  4. Step 4: Simplify right side
    4,941.88x = 14,985,000.62
  5. Step 5: Solve for x
    x = 14,985,000.62/4,941.88
  6. Step 6: Final answer
    x = 3,032.25

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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.