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Finding the Fourth Proportional to 3,809.40, 5,714.04 and 1,036.34

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Solution

The fourth proportional to 3,809.40, 5,714.04 and 1,036.34 is: 1,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.40 : 5,714.04 = 1,036.34 : x
  2. Step 2: Convert to fraction form
    3,809.40/5,714.04 = 1,036.34/x
  3. Step 3: Cross multiply
    3,809.40x = 5,714.04 × 1,036.34
  4. Step 4: Simplify right side
    3,809.40x = 5,921,659.64
  5. Step 5: Solve for x
    x = 5,921,659.64/3,809.40
  6. Step 6: Final answer
    x = 1,554.49

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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.