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Finding the Fourth Proportional to 4,175.64, 5,745.60 and 4,077.18

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Solution

The fourth proportional to 4,175.64, 5,745.60 and 4,077.18 is: 5,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.64 : 5,745.60 = 4,077.18 : x
  2. Step 2: Convert to fraction form
    4,175.64/5,745.60 = 4,077.18/x
  3. Step 3: Cross multiply
    4,175.64x = 5,745.60 × 4,077.18
  4. Step 4: Simplify right side
    4,175.64x = 23,425,845.41
  5. Step 5: Solve for x
    x = 23,425,845.41/4,175.64
  6. Step 6: Final answer
    x = 5,610.12

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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.