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Finding the Fourth Proportional to 4,323.36, 6,478.32 and 3,457.44

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Solution

The fourth proportional to 4,323.36, 6,478.32 and 3,457.44 is: 5,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.36 : 6,478.32 = 3,457.44 : x
  2. Step 2: Convert to fraction form
    4,323.36/6,478.32 = 3,457.44/x
  3. Step 3: Cross multiply
    4,323.36x = 6,478.32 × 3,457.44
  4. Step 4: Simplify right side
    4,323.36x = 22,398,402.70
  5. Step 5: Solve for x
    x = 22,398,402.70/4,323.36
  6. Step 6: Final answer
    x = 5,180.79

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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.