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Finding the Fourth Proportional to 3,466.64, 5,201.72 and 1,735.13

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Solution

The fourth proportional to 3,466.64, 5,201.72 and 1,735.13 is: 2,603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.64 : 5,201.72 = 1,735.13 : x
  2. Step 2: Convert to fraction form
    3,466.64/5,201.72 = 1,735.13/x
  3. Step 3: Cross multiply
    3,466.64x = 5,201.72 × 1,735.13
  4. Step 4: Simplify right side
    3,466.64x = 9,025,625.74
  5. Step 5: Solve for x
    x = 9,025,625.74/3,466.64
  6. Step 6: Final answer
    x = 2,603.57

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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.