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Finding the Fourth Proportional to 3,564.51, 5,347.49 and 1,099.23

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Solution

The fourth proportional to 3,564.51, 5,347.49 and 1,099.23 is: 1,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.51 : 5,347.49 = 1,099.23 : x
  2. Step 2: Convert to fraction form
    3,564.51/5,347.49 = 1,099.23/x
  3. Step 3: Cross multiply
    3,564.51x = 5,347.49 × 1,099.23
  4. Step 4: Simplify right side
    3,564.51x = 5,878,121.43
  5. Step 5: Solve for x
    x = 5,878,121.43/3,564.51
  6. Step 6: Final answer
    x = 1,649.07

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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.