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Finding the Fourth Proportional to 3,313.71, 4,971.87 and 1,753.65

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Solution

The fourth proportional to 3,313.71, 4,971.87 and 1,753.65 is: 2,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.71 : 4,971.87 = 1,753.65 : x
  2. Step 2: Convert to fraction form
    3,313.71/4,971.87 = 1,753.65/x
  3. Step 3: Cross multiply
    3,313.71x = 4,971.87 × 1,753.65
  4. Step 4: Simplify right side
    3,313.71x = 8,718,919.83
  5. Step 5: Solve for x
    x = 8,718,919.83/3,313.71
  6. Step 6: Final answer
    x = 2,631.17

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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.