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Finding the Fourth Proportional to 3,313.71, 4,971.38 and 1,853.82

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Solution

The fourth proportional to 3,313.71, 4,971.38 and 1,853.82 is: 2,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.71 : 4,971.38 = 1,853.82 : x
  2. Step 2: Convert to fraction form
    3,313.71/4,971.38 = 1,853.82/x
  3. Step 3: Cross multiply
    3,313.71x = 4,971.38 × 1,853.82
  4. Step 4: Simplify right side
    3,313.71x = 9,216,034.40
  5. Step 5: Solve for x
    x = 9,216,034.40/3,313.71
  6. Step 6: Final answer
    x = 2,781.18

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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.