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Finding the Fourth Proportional to 3,491.55, 5,237.31 and 894.48

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Solution

The fourth proportional to 3,491.55, 5,237.31 and 894.48 is: 1,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.55 : 5,237.31 = 894.48 : x
  2. Step 2: Convert to fraction form
    3,491.55/5,237.31 = 894.48/x
  3. Step 3: Cross multiply
    3,491.55x = 5,237.31 × 894.48
  4. Step 4: Simplify right side
    3,491.55x = 4,684,669.05
  5. Step 5: Solve for x
    x = 4,684,669.05/3,491.55
  6. Step 6: Final answer
    x = 1,341.72

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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.