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Finding the Fourth Proportional to 6,213.51, 8,570.31 and 4,220.61

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Solution

The fourth proportional to 6,213.51, 8,570.31 and 4,220.61 is: 5,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.51 : 8,570.31 = 4,220.61 : x
  2. Step 2: Convert to fraction form
    6,213.51/8,570.31 = 4,220.61/x
  3. Step 3: Cross multiply
    6,213.51x = 8,570.31 × 4,220.61
  4. Step 4: Simplify right side
    6,213.51x = 36,171,888.12
  5. Step 5: Solve for x
    x = 36,171,888.12/6,213.51
  6. Step 6: Final answer
    x = 5,821.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.