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Finding the Fourth Proportional to 6,197.21, 8,549.46 and 3,543.65

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Solution

The fourth proportional to 6,197.21, 8,549.46 and 3,543.65 is: 4,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.21 : 8,549.46 = 3,543.65 : x
  2. Step 2: Convert to fraction form
    6,197.21/8,549.46 = 3,543.65/x
  3. Step 3: Cross multiply
    6,197.21x = 8,549.46 × 3,543.65
  4. Step 4: Simplify right side
    6,197.21x = 30,296,293.93
  5. Step 5: Solve for x
    x = 30,296,293.93/6,197.21
  6. Step 6: Final answer
    x = 4,888.70

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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.