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Finding the Fourth Proportional to 3,564.44, 5,347.01 and 1,099.63

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Solution

The fourth proportional to 3,564.44, 5,347.01 and 1,099.63 is: 1,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.44 : 5,347.01 = 1,099.63 : x
  2. Step 2: Convert to fraction form
    3,564.44/5,347.01 = 1,099.63/x
  3. Step 3: Cross multiply
    3,564.44x = 5,347.01 × 1,099.63
  4. Step 4: Simplify right side
    3,564.44x = 5,879,732.61
  5. Step 5: Solve for x
    x = 5,879,732.61/3,564.44
  6. Step 6: Final answer
    x = 1,649.55

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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.