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Finding the Fourth Proportional to 3,867.16, 5,800.76 and 945.48

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Solution

The fourth proportional to 3,867.16, 5,800.76 and 945.48 is: 1,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.16 : 5,800.76 = 945.48 : x
  2. Step 2: Convert to fraction form
    3,867.16/5,800.76 = 945.48/x
  3. Step 3: Cross multiply
    3,867.16x = 5,800.76 × 945.48
  4. Step 4: Simplify right side
    3,867.16x = 5,484,502.56
  5. Step 5: Solve for x
    x = 5,484,502.56/3,867.16
  6. Step 6: Final answer
    x = 1,418.22

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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.