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Finding the Fourth Proportional to 5,735.28, 7,916.37 and 3,746.12

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Solution

The fourth proportional to 5,735.28, 7,916.37 and 3,746.12 is: 5,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.28 : 7,916.37 = 3,746.12 : x
  2. Step 2: Convert to fraction form
    5,735.28/7,916.37 = 3,746.12/x
  3. Step 3: Cross multiply
    5,735.28x = 7,916.37 × 3,746.12
  4. Step 4: Simplify right side
    5,735.28x = 29,655,671.98
  5. Step 5: Solve for x
    x = 29,655,671.98/5,735.28
  6. Step 6: Final answer
    x = 5,170.75

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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.