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Finding the Fourth Proportional to 5,612.24, 7,745.16 and 3,374.24

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Solution

The fourth proportional to 5,612.24, 7,745.16 and 3,374.24 is: 4,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.24 : 7,745.16 = 3,374.24 : x
  2. Step 2: Convert to fraction form
    5,612.24/7,745.16 = 3,374.24/x
  3. Step 3: Cross multiply
    5,612.24x = 7,745.16 × 3,374.24
  4. Step 4: Simplify right side
    5,612.24x = 26,134,028.68
  5. Step 5: Solve for x
    x = 26,134,028.68/5,612.24
  6. Step 6: Final answer
    x = 4,656.61

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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.