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Finding the Fourth Proportional to 3,906.09, 5,847.80 and 3,037.77

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Solution

The fourth proportional to 3,906.09, 5,847.80 and 3,037.77 is: 4,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.09 : 5,847.80 = 3,037.77 : x
  2. Step 2: Convert to fraction form
    3,906.09/5,847.80 = 3,037.77/x
  3. Step 3: Cross multiply
    3,906.09x = 5,847.80 × 3,037.77
  4. Step 4: Simplify right side
    3,906.09x = 17,764,256.22
  5. Step 5: Solve for x
    x = 17,764,256.22/3,906.09
  6. Step 6: Final answer
    x = 4,547.84

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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.