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Finding the Fourth Proportional to 6,197.07, 8,549.49 and 3,543.09

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Solution

The fourth proportional to 6,197.07, 8,549.49 and 3,543.09 is: 4,888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.07 : 8,549.49 = 3,543.09 : x
  2. Step 2: Convert to fraction form
    6,197.07/8,549.49 = 3,543.09/x
  3. Step 3: Cross multiply
    6,197.07x = 8,549.49 × 3,543.09
  4. Step 4: Simplify right side
    6,197.07x = 30,291,612.52
  5. Step 5: Solve for x
    x = 30,291,612.52/6,197.07
  6. Step 6: Final answer
    x = 4,888.05

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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.