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Finding the Fourth Proportional to 3,714.38, 5,121.51 and 3,085.64

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Solution

The fourth proportional to 3,714.38, 5,121.51 and 3,085.64 is: 4,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.38 : 5,121.51 = 3,085.64 : x
  2. Step 2: Convert to fraction form
    3,714.38/5,121.51 = 3,085.64/x
  3. Step 3: Cross multiply
    3,714.38x = 5,121.51 × 3,085.64
  4. Step 4: Simplify right side
    3,714.38x = 15,803,136.12
  5. Step 5: Solve for x
    x = 15,803,136.12/3,714.38
  6. Step 6: Final answer
    x = 4,254.58

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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.