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Finding the Fourth Proportional to 4,129.72, 6,188.76 and 3,200.93

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Solution

The fourth proportional to 4,129.72, 6,188.76 and 3,200.93 is: 4,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.72 : 6,188.76 = 3,200.93 : x
  2. Step 2: Convert to fraction form
    4,129.72/6,188.76 = 3,200.93/x
  3. Step 3: Cross multiply
    4,129.72x = 6,188.76 × 3,200.93
  4. Step 4: Simplify right side
    4,129.72x = 19,809,779.81
  5. Step 5: Solve for x
    x = 19,809,779.81/4,129.72
  6. Step 6: Final answer
    x = 4,796.88

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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.