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Finding the Fourth Proportional to 3,091.28, 4,636.44 and 899.57

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Solution

The fourth proportional to 3,091.28, 4,636.44 and 899.57 is: 1,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.28 : 4,636.44 = 899.57 : x
  2. Step 2: Convert to fraction form
    3,091.28/4,636.44 = 899.57/x
  3. Step 3: Cross multiply
    3,091.28x = 4,636.44 × 899.57
  4. Step 4: Simplify right side
    3,091.28x = 4,170,802.33
  5. Step 5: Solve for x
    x = 4,170,802.33/3,091.28
  6. Step 6: Final answer
    x = 1,349.22

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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.