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Finding the Fourth Proportional to 3,541.92, 5,313.24 and 945.04

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Solution

The fourth proportional to 3,541.92, 5,313.24 and 945.04 is: 1,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.92 : 5,313.24 = 945.04 : x
  2. Step 2: Convert to fraction form
    3,541.92/5,313.24 = 945.04/x
  3. Step 3: Cross multiply
    3,541.92x = 5,313.24 × 945.04
  4. Step 4: Simplify right side
    3,541.92x = 5,021,224.33
  5. Step 5: Solve for x
    x = 5,021,224.33/3,541.92
  6. Step 6: Final answer
    x = 1,417.66

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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.