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Finding the Fourth Proportional to 3,491.38, 5,237.06 and 894.31

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Solution

The fourth proportional to 3,491.38, 5,237.06 and 894.31 is: 1,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.38 : 5,237.06 = 894.31 : x
  2. Step 2: Convert to fraction form
    3,491.38/5,237.06 = 894.31/x
  3. Step 3: Cross multiply
    3,491.38x = 5,237.06 × 894.31
  4. Step 4: Simplify right side
    3,491.38x = 4,683,555.13
  5. Step 5: Solve for x
    x = 4,683,555.13/3,491.38
  6. Step 6: Final answer
    x = 1,341.46

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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.