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Finding the Fourth Proportional to 5,693.35, 8,540.74 and 2,230.15

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Solution

The fourth proportional to 5,693.35, 8,540.74 and 2,230.15 is: 3,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.35 : 8,540.74 = 2,230.15 : x
  2. Step 2: Convert to fraction form
    5,693.35/8,540.74 = 2,230.15/x
  3. Step 3: Cross multiply
    5,693.35x = 8,540.74 × 2,230.15
  4. Step 4: Simplify right side
    5,693.35x = 19,047,112.75
  5. Step 5: Solve for x
    x = 19,047,112.75/5,693.35
  6. Step 6: Final answer
    x = 3,345.50

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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.