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Finding the Fourth Proportional to 5,645.16, 7,790.72 and 3,753.54

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Solution

The fourth proportional to 5,645.16, 7,790.72 and 3,753.54 is: 5,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.16 : 7,790.72 = 3,753.54 : x
  2. Step 2: Convert to fraction form
    5,645.16/7,790.72 = 3,753.54/x
  3. Step 3: Cross multiply
    5,645.16x = 7,790.72 × 3,753.54
  4. Step 4: Simplify right side
    5,645.16x = 29,242,760.38
  5. Step 5: Solve for x
    x = 29,242,760.38/5,645.16
  6. Step 6: Final answer
    x = 5,180.15

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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.