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Finding the Fourth Proportional to 3,434.74, 5,152.04 and 837.70

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Solution

The fourth proportional to 3,434.74, 5,152.04 and 837.70 is: 1,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.74 : 5,152.04 = 837.70 : x
  2. Step 2: Convert to fraction form
    3,434.74/5,152.04 = 837.70/x
  3. Step 3: Cross multiply
    3,434.74x = 5,152.04 × 837.70
  4. Step 4: Simplify right side
    3,434.74x = 4,315,863.91
  5. Step 5: Solve for x
    x = 4,315,863.91/3,434.74
  6. Step 6: Final answer
    x = 1,256.53

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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.