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Finding the Fourth Proportional to 6,347.80, 9,524.08 and 2,649.70

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Solution

The fourth proportional to 6,347.80, 9,524.08 and 2,649.70 is: 3,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.80 : 9,524.08 = 2,649.70 : x
  2. Step 2: Convert to fraction form
    6,347.80/9,524.08 = 2,649.70/x
  3. Step 3: Cross multiply
    6,347.80x = 9,524.08 × 2,649.70
  4. Step 4: Simplify right side
    6,347.80x = 25,235,907.16
  5. Step 5: Solve for x
    x = 25,235,907.16/6,347.80
  6. Step 6: Final answer
    x = 3,975.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.