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Finding the Fourth Proportional to 6,206.64, 8,565.87 and 3,689.37

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Solution

The fourth proportional to 6,206.64, 8,565.87 and 3,689.37 is: 5,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.64 : 8,565.87 = 3,689.37 : x
  2. Step 2: Convert to fraction form
    6,206.64/8,565.87 = 3,689.37/x
  3. Step 3: Cross multiply
    6,206.64x = 8,565.87 × 3,689.37
  4. Step 4: Simplify right side
    6,206.64x = 31,602,663.80
  5. Step 5: Solve for x
    x = 31,602,663.80/6,206.64
  6. Step 6: Final answer
    x = 5,091.75

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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.