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Finding the Fourth Proportional to 5,468.97, 7,550.74 and 4,207.69

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Solution

The fourth proportional to 5,468.97, 7,550.74 and 4,207.69 is: 5,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.97 : 7,550.74 = 4,207.69 : x
  2. Step 2: Convert to fraction form
    5,468.97/7,550.74 = 4,207.69/x
  3. Step 3: Cross multiply
    5,468.97x = 7,550.74 × 4,207.69
  4. Step 4: Simplify right side
    5,468.97x = 31,771,173.19
  5. Step 5: Solve for x
    x = 31,771,173.19/5,468.97
  6. Step 6: Final answer
    x = 5,809.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.