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Finding the Fourth Proportional to 5,242.58, 7,850.90 and 3,044.64

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Solution

The fourth proportional to 5,242.58, 7,850.90 and 3,044.64 is: 4,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.58 : 7,850.90 = 3,044.64 : x
  2. Step 2: Convert to fraction form
    5,242.58/7,850.90 = 3,044.64/x
  3. Step 3: Cross multiply
    5,242.58x = 7,850.90 × 3,044.64
  4. Step 4: Simplify right side
    5,242.58x = 23,903,148.95
  5. Step 5: Solve for x
    x = 23,903,148.95/5,242.58
  6. Step 6: Final answer
    x = 4,559.43

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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.