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Finding the Fourth Proportional to 5,867.90, 8,795.89 and 1,969.10

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Solution

The fourth proportional to 5,867.90, 8,795.89 and 1,969.10 is: 2,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.90 : 8,795.89 = 1,969.10 : x
  2. Step 2: Convert to fraction form
    5,867.90/8,795.89 = 1,969.10/x
  3. Step 3: Cross multiply
    5,867.90x = 8,795.89 × 1,969.10
  4. Step 4: Simplify right side
    5,867.90x = 17,319,987.00
  5. Step 5: Solve for x
    x = 17,319,987.00/5,867.90
  6. Step 6: Final answer
    x = 2,951.65

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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.