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Finding the Fourth Proportional to 4,085.72, 6,127.28 and 1,745.68

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Solution

The fourth proportional to 4,085.72, 6,127.28 and 1,745.68 is: 2,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.72 : 6,127.28 = 1,745.68 : x
  2. Step 2: Convert to fraction form
    4,085.72/6,127.28 = 1,745.68/x
  3. Step 3: Cross multiply
    4,085.72x = 6,127.28 × 1,745.68
  4. Step 4: Simplify right side
    4,085.72x = 10,696,270.15
  5. Step 5: Solve for x
    x = 10,696,270.15/4,085.72
  6. Step 6: Final answer
    x = 2,617.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.