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Finding the Fourth Proportional to 3,794.94, 5,237.46 and 2,223

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Solution

The fourth proportional to 3,794.94, 5,237.46 and 2,223 is: 3,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.94 : 5,237.46 = 2,223 : x
  2. Step 2: Convert to fraction form
    3,794.94/5,237.46 = 2,223/x
  3. Step 3: Cross multiply
    3,794.94x = 5,237.46 × 2,223
  4. Step 4: Simplify right side
    3,794.94x = 11,642,873.58
  5. Step 5: Solve for x
    x = 11,642,873.58/3,794.94
  6. Step 6: Final answer
    x = 3,068.00

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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.