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Finding the Fourth Proportional to 4,469.58, 6,684.24 and 3,415.71

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Solution

The fourth proportional to 4,469.58, 6,684.24 and 3,415.71 is: 5,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.58 : 6,684.24 = 3,415.71 : x
  2. Step 2: Convert to fraction form
    4,469.58/6,684.24 = 3,415.71/x
  3. Step 3: Cross multiply
    4,469.58x = 6,684.24 × 3,415.71
  4. Step 4: Simplify right side
    4,469.58x = 22,831,425.41
  5. Step 5: Solve for x
    x = 22,831,425.41/4,469.58
  6. Step 6: Final answer
    x = 5,108.18

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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.