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Finding the Fourth Proportional to 5,347.89, 8,022.71 and 1,649.26

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Solution

The fourth proportional to 5,347.89, 8,022.71 and 1,649.26 is: 2,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.89 : 8,022.71 = 1,649.26 : x
  2. Step 2: Convert to fraction form
    5,347.89/8,022.71 = 1,649.26/x
  3. Step 3: Cross multiply
    5,347.89x = 8,022.71 × 1,649.26
  4. Step 4: Simplify right side
    5,347.89x = 13,231,534.69
  5. Step 5: Solve for x
    x = 13,231,534.69/5,347.89
  6. Step 6: Final answer
    x = 2,474.16

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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.