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Finding the Fourth Proportional to 3,542.88, 5,313.92 and 945.64

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Solution

The fourth proportional to 3,542.88, 5,313.92 and 945.64 is: 1,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.88 : 5,313.92 = 945.64 : x
  2. Step 2: Convert to fraction form
    3,542.88/5,313.92 = 945.64/x
  3. Step 3: Cross multiply
    3,542.88x = 5,313.92 × 945.64
  4. Step 4: Simplify right side
    3,542.88x = 5,025,055.31
  5. Step 5: Solve for x
    x = 5,025,055.31/3,542.88
  6. Step 6: Final answer
    x = 1,418.35

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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.