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Finding the Fourth Proportional to 6,074.74, 8,382.18 and 3,421.63

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Solution

The fourth proportional to 6,074.74, 8,382.18 and 3,421.63 is: 4,721.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.74 : 8,382.18 = 3,421.63 : x
  2. Step 2: Convert to fraction form
    6,074.74/8,382.18 = 3,421.63/x
  3. Step 3: Cross multiply
    6,074.74x = 8,382.18 × 3,421.63
  4. Step 4: Simplify right side
    6,074.74x = 28,680,718.55
  5. Step 5: Solve for x
    x = 28,680,718.55/6,074.74
  6. Step 6: Final answer
    x = 4,721.31

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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.