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Finding the Fourth Proportional to 3,293.58, 4,541.73 and 2,823.11

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Solution

The fourth proportional to 3,293.58, 4,541.73 and 2,823.11 is: 3,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.58 : 4,541.73 = 2,823.11 : x
  2. Step 2: Convert to fraction form
    3,293.58/4,541.73 = 2,823.11/x
  3. Step 3: Cross multiply
    3,293.58x = 4,541.73 × 2,823.11
  4. Step 4: Simplify right side
    3,293.58x = 12,821,803.38
  5. Step 5: Solve for x
    x = 12,821,803.38/3,293.58
  6. Step 6: Final answer
    x = 3,892.97

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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.