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Finding the Fourth Proportional to 6,208.78, 8,565.28 and 3,689.48

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Solution

The fourth proportional to 6,208.78, 8,565.28 and 3,689.48 is: 5,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.78 : 8,565.28 = 3,689.48 : x
  2. Step 2: Convert to fraction form
    6,208.78/8,565.28 = 3,689.48/x
  3. Step 3: Cross multiply
    6,208.78x = 8,565.28 × 3,689.48
  4. Step 4: Simplify right side
    6,208.78x = 31,601,429.25
  5. Step 5: Solve for x
    x = 31,601,429.25/6,208.78
  6. Step 6: Final answer
    x = 5,089.80

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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.