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Finding the Fourth Proportional to 3,710.96, 5,116.92 and 2,777.84

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Solution

The fourth proportional to 3,710.96, 5,116.92 and 2,777.84 is: 3,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.96 : 5,116.92 = 2,777.84 : x
  2. Step 2: Convert to fraction form
    3,710.96/5,116.92 = 2,777.84/x
  3. Step 3: Cross multiply
    3,710.96x = 5,116.92 × 2,777.84
  4. Step 4: Simplify right side
    3,710.96x = 14,213,985.05
  5. Step 5: Solve for x
    x = 14,213,985.05/3,710.96
  6. Step 6: Final answer
    x = 3,830.27

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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.