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Finding the Fourth Proportional to 4,201.88, 5,798.88 and 2,783.12

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Solution

The fourth proportional to 4,201.88, 5,798.88 and 2,783.12 is: 3,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.88 : 5,798.88 = 2,783.12 : x
  2. Step 2: Convert to fraction form
    4,201.88/5,798.88 = 2,783.12/x
  3. Step 3: Cross multiply
    4,201.88x = 5,798.88 × 2,783.12
  4. Step 4: Simplify right side
    4,201.88x = 16,138,978.91
  5. Step 5: Solve for x
    x = 16,138,978.91/4,201.88
  6. Step 6: Final answer
    x = 3,840.89

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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.