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Finding the Fourth Proportional to 3,746.16, 5,174.80 and 3,255.28

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Solution

The fourth proportional to 3,746.16, 5,174.80 and 3,255.28 is: 4,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.16 : 5,174.80 = 3,255.28 : x
  2. Step 2: Convert to fraction form
    3,746.16/5,174.80 = 3,255.28/x
  3. Step 3: Cross multiply
    3,746.16x = 5,174.80 × 3,255.28
  4. Step 4: Simplify right side
    3,746.16x = 16,845,422.94
  5. Step 5: Solve for x
    x = 16,845,422.94/3,746.16
  6. Step 6: Final answer
    x = 4,496.72

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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.