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Finding the Fourth Proportional to 4,135.59, 5,712.93 and 3,761.91

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Solution

The fourth proportional to 4,135.59, 5,712.93 and 3,761.91 is: 5,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.59 : 5,712.93 = 3,761.91 : x
  2. Step 2: Convert to fraction form
    4,135.59/5,712.93 = 3,761.91/x
  3. Step 3: Cross multiply
    4,135.59x = 5,712.93 × 3,761.91
  4. Step 4: Simplify right side
    4,135.59x = 21,491,509.69
  5. Step 5: Solve for x
    x = 21,491,509.69/4,135.59
  6. Step 6: Final answer
    x = 5,196.72

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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.