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Finding the Fourth Proportional to 5,156.99, 7,116.77 and 3,166.41

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Solution

The fourth proportional to 5,156.99, 7,116.77 and 3,166.41 is: 4,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.99 : 7,116.77 = 3,166.41 : x
  2. Step 2: Convert to fraction form
    5,156.99/7,116.77 = 3,166.41/x
  3. Step 3: Cross multiply
    5,156.99x = 7,116.77 × 3,166.41
  4. Step 4: Simplify right side
    5,156.99x = 22,534,595.86
  5. Step 5: Solve for x
    x = 22,534,595.86/5,156.99
  6. Step 6: Final answer
    x = 4,369.72

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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.