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Finding the Fourth Proportional to 5,347.62, 8,020.80 and 1,649.52

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Solution

The fourth proportional to 5,347.62, 8,020.80 and 1,649.52 is: 2,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.62 : 8,020.80 = 1,649.52 : x
  2. Step 2: Convert to fraction form
    5,347.62/8,020.80 = 1,649.52/x
  3. Step 3: Cross multiply
    5,347.62x = 8,020.80 × 1,649.52
  4. Step 4: Simplify right side
    5,347.62x = 13,230,470.02
  5. Step 5: Solve for x
    x = 13,230,470.02/5,347.62
  6. Step 6: Final answer
    x = 2,474.09

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1.5x scale

Why These Related Problems?

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