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Finding the Fourth Proportional to 5,651.58, 7,798.86 and 3,133.54

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Solution

The fourth proportional to 5,651.58, 7,798.86 and 3,133.54 is: 4,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.58 : 7,798.86 = 3,133.54 : x
  2. Step 2: Convert to fraction form
    5,651.58/7,798.86 = 3,133.54/x
  3. Step 3: Cross multiply
    5,651.58x = 7,798.86 × 3,133.54
  4. Step 4: Simplify right side
    5,651.58x = 24,438,039.76
  5. Step 5: Solve for x
    x = 24,438,039.76/5,651.58
  6. Step 6: Final answer
    x = 4,324.11

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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.