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Finding the Fourth Proportional to 3,714, 5,125.23 and 2,035.49

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Solution

The fourth proportional to 3,714, 5,125.23 and 2,035.49 is: 2,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714 : 5,125.23 = 2,035.49 : x
  2. Step 2: Convert to fraction form
    3,714/5,125.23 = 2,035.49/x
  3. Step 3: Cross multiply
    3,714x = 5,125.23 × 2,035.49
  4. Step 4: Simplify right side
    3,714x = 10,432,328.79
  5. Step 5: Solve for x
    x = 10,432,328.79/3,714
  6. Step 6: Final answer
    x = 2,808.92

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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.