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Finding the Fourth Proportional to 3,491.42, 5,236.99 and 894.34

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Solution

The fourth proportional to 3,491.42, 5,236.99 and 894.34 is: 1,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.42 : 5,236.99 = 894.34 : x
  2. Step 2: Convert to fraction form
    3,491.42/5,236.99 = 894.34/x
  3. Step 3: Cross multiply
    3,491.42x = 5,236.99 × 894.34
  4. Step 4: Simplify right side
    3,491.42x = 4,683,649.64
  5. Step 5: Solve for x
    x = 4,683,649.64/3,491.42
  6. Step 6: Final answer
    x = 1,341.47

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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.