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Finding the Fourth Proportional to 5,672.61, 7,826.94 and 3,434.04

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Solution

The fourth proportional to 5,672.61, 7,826.94 and 3,434.04 is: 4,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.61 : 7,826.94 = 3,434.04 : x
  2. Step 2: Convert to fraction form
    5,672.61/7,826.94 = 3,434.04/x
  3. Step 3: Cross multiply
    5,672.61x = 7,826.94 × 3,434.04
  4. Step 4: Simplify right side
    5,672.61x = 26,878,025.04
  5. Step 5: Solve for x
    x = 26,878,025.04/5,672.61
  6. Step 6: Final answer
    x = 4,738.21

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1.5x scale

Why These Related Problems?

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