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Finding the Fourth Proportional to 5,246.20, 7,867.63 and 1,735.55

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Solution

The fourth proportional to 5,246.20, 7,867.63 and 1,735.55 is: 2,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.20 : 7,867.63 = 1,735.55 : x
  2. Step 2: Convert to fraction form
    5,246.20/7,867.63 = 1,735.55/x
  3. Step 3: Cross multiply
    5,246.20x = 7,867.63 × 1,735.55
  4. Step 4: Simplify right side
    5,246.20x = 13,654,665.25
  5. Step 5: Solve for x
    x = 13,654,665.25/5,246.20
  6. Step 6: Final answer
    x = 2,602.77

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