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Finding the Fourth Proportional to 3,714.61, 5,126.13 and 2,036.11

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Solution

The fourth proportional to 3,714.61, 5,126.13 and 2,036.11 is: 2,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.61 : 5,126.13 = 2,036.11 : x
  2. Step 2: Convert to fraction form
    3,714.61/5,126.13 = 2,036.11/x
  3. Step 3: Cross multiply
    3,714.61x = 5,126.13 × 2,036.11
  4. Step 4: Simplify right side
    3,714.61x = 10,437,364.55
  5. Step 5: Solve for x
    x = 10,437,364.55/3,714.61
  6. Step 6: Final answer
    x = 2,809.81

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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.