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Finding the Fourth Proportional to 3,433.07, 5,149.60 and 836.00

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Solution

The fourth proportional to 3,433.07, 5,149.60 and 836.00 is: 1,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.07 : 5,149.60 = 836.00 : x
  2. Step 2: Convert to fraction form
    3,433.07/5,149.60 = 836.00/x
  3. Step 3: Cross multiply
    3,433.07x = 5,149.60 × 836.00
  4. Step 4: Simplify right side
    3,433.07x = 4,305,088.39
  5. Step 5: Solve for x
    x = 4,305,088.39/3,433.07
  6. Step 6: Final answer
    x = 1,254.01

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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.