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Finding the Fourth Proportional to 3,733.59, 5,152.26 and 2,054.98

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Solution

The fourth proportional to 3,733.59, 5,152.26 and 2,054.98 is: 2,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.59 : 5,152.26 = 2,054.98 : x
  2. Step 2: Convert to fraction form
    3,733.59/5,152.26 = 2,054.98/x
  3. Step 3: Cross multiply
    3,733.59x = 5,152.26 × 2,054.98
  4. Step 4: Simplify right side
    3,733.59x = 10,587,814.09
  5. Step 5: Solve for x
    x = 10,587,814.09/3,733.59
  6. Step 6: Final answer
    x = 2,835.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.