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Finding the Fourth Proportional to 6,207.44, 8,564.54 and 3,689.35

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Solution

The fourth proportional to 6,207.44, 8,564.54 and 3,689.35 is: 5,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.44 : 8,564.54 = 3,689.35 : x
  2. Step 2: Convert to fraction form
    6,207.44/8,564.54 = 3,689.35/x
  3. Step 3: Cross multiply
    6,207.44x = 8,564.54 × 3,689.35
  4. Step 4: Simplify right side
    6,207.44x = 31,597,545.79
  5. Step 5: Solve for x
    x = 31,597,545.79/6,207.44
  6. Step 6: Final answer
    x = 5,090.27

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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.