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Finding the Fourth Proportional to 5,244.66, 7,867.07 and 1,349.07

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Solution

The fourth proportional to 5,244.66, 7,867.07 and 1,349.07 is: 2,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.66 : 7,867.07 = 1,349.07 : x
  2. Step 2: Convert to fraction form
    5,244.66/7,867.07 = 1,349.07/x
  3. Step 3: Cross multiply
    5,244.66x = 7,867.07 × 1,349.07
  4. Step 4: Simplify right side
    5,244.66x = 10,613,228.12
  5. Step 5: Solve for x
    x = 10,613,228.12/5,244.66
  6. Step 6: Final answer
    x = 2,023.63

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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.