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Finding the Fourth Proportional to 4,693.14, 7,035.39 and 1,769.22

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Solution

The fourth proportional to 4,693.14, 7,035.39 and 1,769.22 is: 2,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.14 : 7,035.39 = 1,769.22 : x
  2. Step 2: Convert to fraction form
    4,693.14/7,035.39 = 1,769.22/x
  3. Step 3: Cross multiply
    4,693.14x = 7,035.39 × 1,769.22
  4. Step 4: Simplify right side
    4,693.14x = 12,447,152.70
  5. Step 5: Solve for x
    x = 12,447,152.70/4,693.14
  6. Step 6: Final answer
    x = 2,652.20

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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.