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Finding the Fourth Proportional to 5,574.66, 8,357.67 and 2,494.50

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Solution

The fourth proportional to 5,574.66, 8,357.67 and 2,494.50 is: 3,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.66 : 8,357.67 = 2,494.50 : x
  2. Step 2: Convert to fraction form
    5,574.66/8,357.67 = 2,494.50/x
  3. Step 3: Cross multiply
    5,574.66x = 8,357.67 × 2,494.50
  4. Step 4: Simplify right side
    5,574.66x = 20,848,207.82
  5. Step 5: Solve for x
    x = 20,848,207.82/5,574.66
  6. Step 6: Final answer
    x = 3,739.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.