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Finding the Fourth Proportional to 3,425.07, 5,137.59 and 828

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Solution

The fourth proportional to 3,425.07, 5,137.59 and 828 is: 1,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.07 : 5,137.59 = 828 : x
  2. Step 2: Convert to fraction form
    3,425.07/5,137.59 = 828/x
  3. Step 3: Cross multiply
    3,425.07x = 5,137.59 × 828
  4. Step 4: Simplify right side
    3,425.07x = 4,253,924.52
  5. Step 5: Solve for x
    x = 4,253,924.52/3,425.07
  6. Step 6: Final answer
    x = 1,242.00

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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.