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Finding the Fourth Proportional to 3,505, 5,255.60 and 1,746.14

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Solution

The fourth proportional to 3,505, 5,255.60 and 1,746.14 is: 2,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505 : 5,255.60 = 1,746.14 : x
  2. Step 2: Convert to fraction form
    3,505/5,255.60 = 1,746.14/x
  3. Step 3: Cross multiply
    3,505x = 5,255.60 × 1,746.14
  4. Step 4: Simplify right side
    3,505x = 9,177,013.38
  5. Step 5: Solve for x
    x = 9,177,013.38/3,505
  6. Step 6: Final answer
    x = 2,618.26

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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.