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Finding the Fourth Proportional to 5,201.84, 7,791.08 and 4,023.56

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Solution

The fourth proportional to 5,201.84, 7,791.08 and 4,023.56 is: 6,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.84 : 7,791.08 = 4,023.56 : x
  2. Step 2: Convert to fraction form
    5,201.84/7,791.08 = 4,023.56/x
  3. Step 3: Cross multiply
    5,201.84x = 7,791.08 × 4,023.56
  4. Step 4: Simplify right side
    5,201.84x = 31,347,818.77
  5. Step 5: Solve for x
    x = 31,347,818.77/5,201.84
  6. Step 6: Final answer
    x = 6,026.30

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1.5x scale

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.