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Finding the Fourth Proportional to 5,347.52, 8,022.04 and 1,649.06

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Solution

The fourth proportional to 5,347.52, 8,022.04 and 1,649.06 is: 2,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.52 : 8,022.04 = 1,649.06 : x
  2. Step 2: Convert to fraction form
    5,347.52/8,022.04 = 1,649.06/x
  3. Step 3: Cross multiply
    5,347.52x = 8,022.04 × 1,649.06
  4. Step 4: Simplify right side
    5,347.52x = 13,228,811.13
  5. Step 5: Solve for x
    x = 13,228,811.13/5,347.52
  6. Step 6: Final answer
    x = 2,473.82

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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.