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Finding the Fourth Proportional to 4,365.96, 6,023.32 and 2,874.61

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Solution

The fourth proportional to 4,365.96, 6,023.32 and 2,874.61 is: 3,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.96 : 6,023.32 = 2,874.61 : x
  2. Step 2: Convert to fraction form
    4,365.96/6,023.32 = 2,874.61/x
  3. Step 3: Cross multiply
    4,365.96x = 6,023.32 × 2,874.61
  4. Step 4: Simplify right side
    4,365.96x = 17,314,695.91
  5. Step 5: Solve for x
    x = 17,314,695.91/4,365.96
  6. Step 6: Final answer
    x = 3,965.84

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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.