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Finding the Fourth Proportional to 3,709, 5,118.42 and 2,053

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Solution

The fourth proportional to 3,709, 5,118.42 and 2,053 is: 2,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709 : 5,118.42 = 2,053 : x
  2. Step 2: Convert to fraction form
    3,709/5,118.42 = 2,053/x
  3. Step 3: Cross multiply
    3,709x = 5,118.42 × 2,053
  4. Step 4: Simplify right side
    3,709x = 10,508,116.26
  5. Step 5: Solve for x
    x = 10,508,116.26/3,709
  6. Step 6: Final answer
    x = 2,833.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.