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Finding the Fourth Proportional to 4,023.66, 5,553 and 2,255.64

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Solution

The fourth proportional to 4,023.66, 5,553 and 2,255.64 is: 3,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023.66 : 5,553 = 2,255.64 : x
  2. Step 2: Convert to fraction form
    4,023.66/5,553 = 2,255.64/x
  3. Step 3: Cross multiply
    4,023.66x = 5,553 × 2,255.64
  4. Step 4: Simplify right side
    4,023.66x = 12,525,568.92
  5. Step 5: Solve for x
    x = 12,525,568.92/4,023.66
  6. Step 6: Final answer
    x = 3,112.98

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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.