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Finding the Fourth Proportional to 3,833.56, 5,288.78 and 2,416.87

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Solution

The fourth proportional to 3,833.56, 5,288.78 and 2,416.87 is: 3,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.56 : 5,288.78 = 2,416.87 : x
  2. Step 2: Convert to fraction form
    3,833.56/5,288.78 = 2,416.87/x
  3. Step 3: Cross multiply
    3,833.56x = 5,288.78 × 2,416.87
  4. Step 4: Simplify right side
    3,833.56x = 12,782,255.19
  5. Step 5: Solve for x
    x = 12,782,255.19/3,833.56
  6. Step 6: Final answer
    x = 3,334.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.