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Finding the Fourth Proportional to 4,129.32, 6,194.82 and 1,207.38

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Solution

The fourth proportional to 4,129.32, 6,194.82 and 1,207.38 is: 1,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.32 : 6,194.82 = 1,207.38 : x
  2. Step 2: Convert to fraction form
    4,129.32/6,194.82 = 1,207.38/x
  3. Step 3: Cross multiply
    4,129.32x = 6,194.82 × 1,207.38
  4. Step 4: Simplify right side
    4,129.32x = 7,479,501.77
  5. Step 5: Solve for x
    x = 7,479,501.77/4,129.32
  6. Step 6: Final answer
    x = 1,811.32

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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.