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Finding the Fourth Proportional to 3,809.90, 5,714.86 and 1,036.58

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Solution

The fourth proportional to 3,809.90, 5,714.86 and 1,036.58 is: 1,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.90 : 5,714.86 = 1,036.58 : x
  2. Step 2: Convert to fraction form
    3,809.90/5,714.86 = 1,036.58/x
  3. Step 3: Cross multiply
    3,809.90x = 5,714.86 × 1,036.58
  4. Step 4: Simplify right side
    3,809.90x = 5,923,909.58
  5. Step 5: Solve for x
    x = 5,923,909.58/3,809.90
  6. Step 6: Final answer
    x = 1,554.87

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