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Finding the Fourth Proportional to 3,809.75, 5,714.73 and 1,036.41

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Solution

The fourth proportional to 3,809.75, 5,714.73 and 1,036.41 is: 1,554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.75 : 5,714.73 = 1,036.41 : x
  2. Step 2: Convert to fraction form
    3,809.75/5,714.73 = 1,036.41/x
  3. Step 3: Cross multiply
    3,809.75x = 5,714.73 × 1,036.41
  4. Step 4: Simplify right side
    3,809.75x = 5,922,803.32
  5. Step 5: Solve for x
    x = 5,922,803.32/3,809.75
  6. Step 6: Final answer
    x = 1,554.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.