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Finding the Fourth Proportional to 3,435.46, 5,153.18 and 838.40

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Solution

The fourth proportional to 3,435.46, 5,153.18 and 838.40 is: 1,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.46 : 5,153.18 = 838.40 : x
  2. Step 2: Convert to fraction form
    3,435.46/5,153.18 = 838.40/x
  3. Step 3: Cross multiply
    3,435.46x = 5,153.18 × 838.40
  4. Step 4: Simplify right side
    3,435.46x = 4,320,402.44
  5. Step 5: Solve for x
    x = 4,320,402.44/3,435.46
  6. Step 6: Final answer
    x = 1,257.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.