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Finding the Fourth Proportional to 5,565, 8,347.76 and 3,097.97

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Solution

The fourth proportional to 5,565, 8,347.76 and 3,097.97 is: 4,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565 : 8,347.76 = 3,097.97 : x
  2. Step 2: Convert to fraction form
    5,565/8,347.76 = 3,097.97/x
  3. Step 3: Cross multiply
    5,565x = 8,347.76 × 3,097.97
  4. Step 4: Simplify right side
    5,565x = 25,861,052.82
  5. Step 5: Solve for x
    x = 25,861,052.82/5,565
  6. Step 6: Final answer
    x = 4,647.09

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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.