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Finding the Fourth Proportional to 4,570.14, 6,855.21 and 4,213.47

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Solution

The fourth proportional to 4,570.14, 6,855.21 and 4,213.47 is: 6,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.14 : 6,855.21 = 4,213.47 : x
  2. Step 2: Convert to fraction form
    4,570.14/6,855.21 = 4,213.47/x
  3. Step 3: Cross multiply
    4,570.14x = 6,855.21 × 4,213.47
  4. Step 4: Simplify right side
    4,570.14x = 28,884,221.68
  5. Step 5: Solve for x
    x = 28,884,221.68/4,570.14
  6. Step 6: Final answer
    x = 6,320.21

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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.