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Finding the Fourth Proportional to 3,790.76, 5,232.24 and 2,298.74

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Solution

The fourth proportional to 3,790.76, 5,232.24 and 2,298.74 is: 3,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.76 : 5,232.24 = 2,298.74 : x
  2. Step 2: Convert to fraction form
    3,790.76/5,232.24 = 2,298.74/x
  3. Step 3: Cross multiply
    3,790.76x = 5,232.24 × 2,298.74
  4. Step 4: Simplify right side
    3,790.76x = 12,027,559.38
  5. Step 5: Solve for x
    x = 12,027,559.38/3,790.76
  6. Step 6: Final answer
    x = 3,172.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.