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Finding the Fourth Proportional to 5,867.64, 8,801.49 and 1,485.09

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Solution

The fourth proportional to 5,867.64, 8,801.49 and 1,485.09 is: 2,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.64 : 8,801.49 = 1,485.09 : x
  2. Step 2: Convert to fraction form
    5,867.64/8,801.49 = 1,485.09/x
  3. Step 3: Cross multiply
    5,867.64x = 8,801.49 × 1,485.09
  4. Step 4: Simplify right side
    5,867.64x = 13,071,010.35
  5. Step 5: Solve for x
    x = 13,071,010.35/5,867.64
  6. Step 6: Final answer
    x = 2,227.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.