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Finding the Fourth Proportional to 3,501.62, 5,246.96 and 1,857.74

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Solution

The fourth proportional to 3,501.62, 5,246.96 and 1,857.74 is: 2,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.62 : 5,246.96 = 1,857.74 : x
  2. Step 2: Convert to fraction form
    3,501.62/5,246.96 = 1,857.74/x
  3. Step 3: Cross multiply
    3,501.62x = 5,246.96 × 1,857.74
  4. Step 4: Simplify right side
    3,501.62x = 9,747,478.18
  5. Step 5: Solve for x
    x = 9,747,478.18/3,501.62
  6. Step 6: Final answer
    x = 2,783.71

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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.