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Finding the Fourth Proportional to 5,629.64, 7,768.67 and 3,111.62

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Solution

The fourth proportional to 5,629.64, 7,768.67 and 3,111.62 is: 4,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.64 : 7,768.67 = 3,111.62 : x
  2. Step 2: Convert to fraction form
    5,629.64/7,768.67 = 3,111.62/x
  3. Step 3: Cross multiply
    5,629.64x = 7,768.67 × 3,111.62
  4. Step 4: Simplify right side
    5,629.64x = 24,173,152.81
  5. Step 5: Solve for x
    x = 24,173,152.81/5,629.64
  6. Step 6: Final answer
    x = 4,293.91

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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.