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Finding the Fourth Proportional to 4,223.86, 5,828.30 and 2,544.94

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Solution

The fourth proportional to 4,223.86, 5,828.30 and 2,544.94 is: 3,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.86 : 5,828.30 = 2,544.94 : x
  2. Step 2: Convert to fraction form
    4,223.86/5,828.30 = 2,544.94/x
  3. Step 3: Cross multiply
    4,223.86x = 5,828.30 × 2,544.94
  4. Step 4: Simplify right side
    4,223.86x = 14,832,673.80
  5. Step 5: Solve for x
    x = 14,832,673.80/4,223.86
  6. Step 6: Final answer
    x = 3,511.64

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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.