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Finding the Fourth Proportional to 4,334.43, 6,502.05 and 1,214.43

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Solution

The fourth proportional to 4,334.43, 6,502.05 and 1,214.43 is: 1,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.43 : 6,502.05 = 1,214.43 : x
  2. Step 2: Convert to fraction form
    4,334.43/6,502.05 = 1,214.43/x
  3. Step 3: Cross multiply
    4,334.43x = 6,502.05 × 1,214.43
  4. Step 4: Simplify right side
    4,334.43x = 7,896,284.58
  5. Step 5: Solve for x
    x = 7,896,284.58/4,334.43
  6. Step 6: Final answer
    x = 1,821.76

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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.