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Finding the Fourth Proportional to 3,626.51, 5,440.05 and 1,546.53

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Solution

The fourth proportional to 3,626.51, 5,440.05 and 1,546.53 is: 2,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.51 : 5,440.05 = 1,546.53 : x
  2. Step 2: Convert to fraction form
    3,626.51/5,440.05 = 1,546.53/x
  3. Step 3: Cross multiply
    3,626.51x = 5,440.05 × 1,546.53
  4. Step 4: Simplify right side
    3,626.51x = 8,413,216.85
  5. Step 5: Solve for x
    x = 8,413,216.85/3,626.51
  6. Step 6: Final answer
    x = 2,319.92

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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.