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Finding the Fourth Proportional to 3,434.85, 5,152.26 and 837.81

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Solution

The fourth proportional to 3,434.85, 5,152.26 and 837.81 is: 1,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.85 : 5,152.26 = 837.81 : x
  2. Step 2: Convert to fraction form
    3,434.85/5,152.26 = 837.81/x
  3. Step 3: Cross multiply
    3,434.85x = 5,152.26 × 837.81
  4. Step 4: Simplify right side
    3,434.85x = 4,316,614.95
  5. Step 5: Solve for x
    x = 4,316,614.95/3,434.85
  6. Step 6: Final answer
    x = 1,256.71

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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.