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Finding the Fourth Proportional to 3,100.36, 4,648.46 and 1,714.36

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Solution

The fourth proportional to 3,100.36, 4,648.46 and 1,714.36 is: 2,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.36 : 4,648.46 = 1,714.36 : x
  2. Step 2: Convert to fraction form
    3,100.36/4,648.46 = 1,714.36/x
  3. Step 3: Cross multiply
    3,100.36x = 4,648.46 × 1,714.36
  4. Step 4: Simplify right side
    3,100.36x = 7,969,133.89
  5. Step 5: Solve for x
    x = 7,969,133.89/3,100.36
  6. Step 6: Final answer
    x = 2,570.39

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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.