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Finding the Fourth Proportional to 5,173.86, 7,139.85 and 3,156.82

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Solution

The fourth proportional to 5,173.86, 7,139.85 and 3,156.82 is: 4,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.86 : 7,139.85 = 3,156.82 : x
  2. Step 2: Convert to fraction form
    5,173.86/7,139.85 = 3,156.82/x
  3. Step 3: Cross multiply
    5,173.86x = 7,139.85 × 3,156.82
  4. Step 4: Simplify right side
    5,173.86x = 22,539,221.28
  5. Step 5: Solve for x
    x = 22,539,221.28/5,173.86
  6. Step 6: Final answer
    x = 4,356.36

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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.