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Finding the Fourth Proportional to 3,074.63, 4,632.89 and 2,738.96

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Solution

The fourth proportional to 3,074.63, 4,632.89 and 2,738.96 is: 4,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.63 : 4,632.89 = 2,738.96 : x
  2. Step 2: Convert to fraction form
    3,074.63/4,632.89 = 2,738.96/x
  3. Step 3: Cross multiply
    3,074.63x = 4,632.89 × 2,738.96
  4. Step 4: Simplify right side
    3,074.63x = 12,689,275.58
  5. Step 5: Solve for x
    x = 12,689,275.58/3,074.63
  6. Step 6: Final answer
    x = 4,127.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.