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Finding the Fourth Proportional to 4,166.86, 5,743.18 and 3,813.76

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Solution

The fourth proportional to 4,166.86, 5,743.18 and 3,813.76 is: 5,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.86 : 5,743.18 = 3,813.76 : x
  2. Step 2: Convert to fraction form
    4,166.86/5,743.18 = 3,813.76/x
  3. Step 3: Cross multiply
    4,166.86x = 5,743.18 × 3,813.76
  4. Step 4: Simplify right side
    4,166.86x = 21,903,110.16
  5. Step 5: Solve for x
    x = 21,903,110.16/4,166.86
  6. Step 6: Final answer
    x = 5,256.50

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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.