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Finding the Fourth Proportional to 4,113.22, 5,661.98 and 3,588.34

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Solution

The fourth proportional to 4,113.22, 5,661.98 and 3,588.34 is: 4,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.22 : 5,661.98 = 3,588.34 : x
  2. Step 2: Convert to fraction form
    4,113.22/5,661.98 = 3,588.34/x
  3. Step 3: Cross multiply
    4,113.22x = 5,661.98 × 3,588.34
  4. Step 4: Simplify right side
    4,113.22x = 20,317,109.31
  5. Step 5: Solve for x
    x = 20,317,109.31/4,113.22
  6. Step 6: Final answer
    x = 4,939.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.