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Finding the Fourth Proportional to 4,493.26, 6,201.51 and 3,746.02

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Solution

The fourth proportional to 4,493.26, 6,201.51 and 3,746.02 is: 5,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.26 : 6,201.51 = 3,746.02 : x
  2. Step 2: Convert to fraction form
    4,493.26/6,201.51 = 3,746.02/x
  3. Step 3: Cross multiply
    4,493.26x = 6,201.51 × 3,746.02
  4. Step 4: Simplify right side
    4,493.26x = 23,230,980.49
  5. Step 5: Solve for x
    x = 23,230,980.49/4,493.26
  6. Step 6: Final answer
    x = 5,170.18

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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.