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Finding the Fourth Proportional to 6,195.34, 8,549.72 and 3,543

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Solution

The fourth proportional to 6,195.34, 8,549.72 and 3,543 is: 4,889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.34 : 8,549.72 = 3,543 : x
  2. Step 2: Convert to fraction form
    6,195.34/8,549.72 = 3,543/x
  3. Step 3: Cross multiply
    6,195.34x = 8,549.72 × 3,543
  4. Step 4: Simplify right side
    6,195.34x = 30,291,657.96
  5. Step 5: Solve for x
    x = 30,291,657.96/6,195.34
  6. Step 6: Final answer
    x = 4,889.43

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Why These Related Problems?

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