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Finding the Fourth Proportional to 4,493.21, 6,706.55 and 4,216.19

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Solution

The fourth proportional to 4,493.21, 6,706.55 and 4,216.19 is: 6,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.21 : 6,706.55 = 4,216.19 : x
  2. Step 2: Convert to fraction form
    4,493.21/6,706.55 = 4,216.19/x
  3. Step 3: Cross multiply
    4,493.21x = 6,706.55 × 4,216.19
  4. Step 4: Simplify right side
    4,493.21x = 28,276,116.35
  5. Step 5: Solve for x
    x = 28,276,116.35/4,493.21
  6. Step 6: Final answer
    x = 6,293.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.