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Finding the Fourth Proportional to 3,805.06, 5,707.78 and 1,207.76

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Solution

The fourth proportional to 3,805.06, 5,707.78 and 1,207.76 is: 1,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.06 : 5,707.78 = 1,207.76 : x
  2. Step 2: Convert to fraction form
    3,805.06/5,707.78 = 1,207.76/x
  3. Step 3: Cross multiply
    3,805.06x = 5,707.78 × 1,207.76
  4. Step 4: Simplify right side
    3,805.06x = 6,893,628.37
  5. Step 5: Solve for x
    x = 6,893,628.37/3,805.06
  6. Step 6: Final answer
    x = 1,811.70

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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.