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Finding the Fourth Proportional to 5,878.64, 8,112.32 and 3,225.92

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Solution

The fourth proportional to 5,878.64, 8,112.32 and 3,225.92 is: 4,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.64 : 8,112.32 = 3,225.92 : x
  2. Step 2: Convert to fraction form
    5,878.64/8,112.32 = 3,225.92/x
  3. Step 3: Cross multiply
    5,878.64x = 8,112.32 × 3,225.92
  4. Step 4: Simplify right side
    5,878.64x = 26,169,695.33
  5. Step 5: Solve for x
    x = 26,169,695.33/5,878.64
  6. Step 6: Final answer
    x = 4,451.66

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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.