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Finding the Fourth Proportional to 3,714, 5,125.32 and 2,058

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Solution

The fourth proportional to 3,714, 5,125.32 and 2,058 is: 2,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714 : 5,125.32 = 2,058 : x
  2. Step 2: Convert to fraction form
    3,714/5,125.32 = 2,058/x
  3. Step 3: Cross multiply
    3,714x = 5,125.32 × 2,058
  4. Step 4: Simplify right side
    3,714x = 10,547,908.56
  5. Step 5: Solve for x
    x = 10,547,908.56/3,714
  6. Step 6: Final answer
    x = 2,840.04

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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.