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Finding the Fourth Proportional to 5,542.94, 7,649.26 and 3,152.91

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Solution

The fourth proportional to 5,542.94, 7,649.26 and 3,152.91 is: 4,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.94 : 7,649.26 = 3,152.91 : x
  2. Step 2: Convert to fraction form
    5,542.94/7,649.26 = 3,152.91/x
  3. Step 3: Cross multiply
    5,542.94x = 7,649.26 × 3,152.91
  4. Step 4: Simplify right side
    5,542.94x = 24,117,398.85
  5. Step 5: Solve for x
    x = 24,117,398.85/5,542.94
  6. Step 6: Final answer
    x = 4,351.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.