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Finding the Fourth Proportional to 4,053.96, 6,077.52 and 3,692.88

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Solution

The fourth proportional to 4,053.96, 6,077.52 and 3,692.88 is: 5,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.96 : 6,077.52 = 3,692.88 : x
  2. Step 2: Convert to fraction form
    4,053.96/6,077.52 = 3,692.88/x
  3. Step 3: Cross multiply
    4,053.96x = 6,077.52 × 3,692.88
  4. Step 4: Simplify right side
    4,053.96x = 22,443,552.06
  5. Step 5: Solve for x
    x = 22,443,552.06/4,053.96
  6. Step 6: Final answer
    x = 5,536.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.