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Finding the Fourth Proportional to 4,493.72, 6,707.30 and 4,216.70

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Solution

The fourth proportional to 4,493.72, 6,707.30 and 4,216.70 is: 6,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.72 : 6,707.30 = 4,216.70 : x
  2. Step 2: Convert to fraction form
    4,493.72/6,707.30 = 4,216.70/x
  3. Step 3: Cross multiply
    4,493.72x = 6,707.30 × 4,216.70
  4. Step 4: Simplify right side
    4,493.72x = 28,282,638.37
  5. Step 5: Solve for x
    x = 28,282,638.37/4,493.72
  6. Step 6: Final answer
    x = 6,293.82

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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.