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Finding the Fourth Proportional to 3,207.79, 4,811.14 and 1,129.33

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Solution

The fourth proportional to 3,207.79, 4,811.14 and 1,129.33 is: 1,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.79 : 4,811.14 = 1,129.33 : x
  2. Step 2: Convert to fraction form
    3,207.79/4,811.14 = 1,129.33/x
  3. Step 3: Cross multiply
    3,207.79x = 4,811.14 × 1,129.33
  4. Step 4: Simplify right side
    3,207.79x = 5,433,364.74
  5. Step 5: Solve for x
    x = 5,433,364.74/3,207.79
  6. Step 6: Final answer
    x = 1,693.80

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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.