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Finding the Fourth Proportional to 6,399.76, 9,584.28 and 3,658

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Solution

The fourth proportional to 6,399.76, 9,584.28 and 3,658 is: 5,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.76 : 9,584.28 = 3,658 : x
  2. Step 2: Convert to fraction form
    6,399.76/9,584.28 = 3,658/x
  3. Step 3: Cross multiply
    6,399.76x = 9,584.28 × 3,658
  4. Step 4: Simplify right side
    6,399.76x = 35,059,296.24
  5. Step 5: Solve for x
    x = 35,059,296.24/6,399.76
  6. Step 6: Final answer
    x = 5,478.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.