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Finding the Fourth Proportional to 5,026.50, 7,538.94 and 3,561.21

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Solution

The fourth proportional to 5,026.50, 7,538.94 and 3,561.21 is: 5,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.50 : 7,538.94 = 3,561.21 : x
  2. Step 2: Convert to fraction form
    5,026.50/7,538.94 = 3,561.21/x
  3. Step 3: Cross multiply
    5,026.50x = 7,538.94 × 3,561.21
  4. Step 4: Simplify right side
    5,026.50x = 26,847,748.52
  5. Step 5: Solve for x
    x = 26,847,748.52/5,026.50
  6. Step 6: Final answer
    x = 5,341.24

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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.