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Finding the Fourth Proportional to 5,335.74, 7,363.26 and 2,977.86

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Solution

The fourth proportional to 5,335.74, 7,363.26 and 2,977.86 is: 4,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.74 : 7,363.26 = 2,977.86 : x
  2. Step 2: Convert to fraction form
    5,335.74/7,363.26 = 2,977.86/x
  3. Step 3: Cross multiply
    5,335.74x = 7,363.26 × 2,977.86
  4. Step 4: Simplify right side
    5,335.74x = 21,926,757.42
  5. Step 5: Solve for x
    x = 21,926,757.42/5,335.74
  6. Step 6: Final answer
    x = 4,109.41

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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.