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Finding the Fourth Proportional to 4,037.92, 6,056.86 and 1,116.22

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Solution

The fourth proportional to 4,037.92, 6,056.86 and 1,116.22 is: 1,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037.92 : 6,056.86 = 1,116.22 : x
  2. Step 2: Convert to fraction form
    4,037.92/6,056.86 = 1,116.22/x
  3. Step 3: Cross multiply
    4,037.92x = 6,056.86 × 1,116.22
  4. Step 4: Simplify right side
    4,037.92x = 6,760,788.27
  5. Step 5: Solve for x
    x = 6,760,788.27/4,037.92
  6. Step 6: Final answer
    x = 1,674.32

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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.