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Finding the Fourth Proportional to 4,705.81, 6,500.77 and 3,760.36

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Solution

The fourth proportional to 4,705.81, 6,500.77 and 3,760.36 is: 5,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.81 : 6,500.77 = 3,760.36 : x
  2. Step 2: Convert to fraction form
    4,705.81/6,500.77 = 3,760.36/x
  3. Step 3: Cross multiply
    4,705.81x = 6,500.77 × 3,760.36
  4. Step 4: Simplify right side
    4,705.81x = 24,445,233.87
  5. Step 5: Solve for x
    x = 24,445,233.87/4,705.81
  6. Step 6: Final answer
    x = 5,194.69

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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.