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Finding the Fourth Proportional to 4,074.76, 6,112.86 and 1,767.88

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Solution

The fourth proportional to 4,074.76, 6,112.86 and 1,767.88 is: 2,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.76 : 6,112.86 = 1,767.88 : x
  2. Step 2: Convert to fraction form
    4,074.76/6,112.86 = 1,767.88/x
  3. Step 3: Cross multiply
    4,074.76x = 6,112.86 × 1,767.88
  4. Step 4: Simplify right side
    4,074.76x = 10,806,802.94
  5. Step 5: Solve for x
    x = 10,806,802.94/4,074.76
  6. Step 6: Final answer
    x = 2,652.13

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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.