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Finding the Fourth Proportional to 5,347.80, 8,021.70 and 1,452.20

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Solution

The fourth proportional to 5,347.80, 8,021.70 and 1,452.20 is: 2,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.80 : 8,021.70 = 1,452.20 : x
  2. Step 2: Convert to fraction form
    5,347.80/8,021.70 = 1,452.20/x
  3. Step 3: Cross multiply
    5,347.80x = 8,021.70 × 1,452.20
  4. Step 4: Simplify right side
    5,347.80x = 11,649,112.74
  5. Step 5: Solve for x
    x = 11,649,112.74/5,347.80
  6. Step 6: Final answer
    x = 2,178.30

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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.