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Finding the Fourth Proportional to 5,441.46, 7,508.61 and 3,083.15

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Solution

The fourth proportional to 5,441.46, 7,508.61 and 3,083.15 is: 4,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.46 : 7,508.61 = 3,083.15 : x
  2. Step 2: Convert to fraction form
    5,441.46/7,508.61 = 3,083.15/x
  3. Step 3: Cross multiply
    5,441.46x = 7,508.61 × 3,083.15
  4. Step 4: Simplify right side
    5,441.46x = 23,150,133.38
  5. Step 5: Solve for x
    x = 23,150,133.38/5,441.46
  6. Step 6: Final answer
    x = 4,254.40

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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.