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Finding the Fourth Proportional to 6,045, 8,342.10 and 3,561

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Solution

The fourth proportional to 6,045, 8,342.10 and 3,561 is: 4,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045 : 8,342.10 = 3,561 : x
  2. Step 2: Convert to fraction form
    6,045/8,342.10 = 3,561/x
  3. Step 3: Cross multiply
    6,045x = 8,342.10 × 3,561
  4. Step 4: Simplify right side
    6,045x = 29,706,218.10
  5. Step 5: Solve for x
    x = 29,706,218.10/6,045
  6. Step 6: Final answer
    x = 4,914.18

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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.