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Finding the Fourth Proportional to 5,670.63, 7,826.17 and 3,433.29

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Solution

The fourth proportional to 5,670.63, 7,826.17 and 3,433.29 is: 4,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.63 : 7,826.17 = 3,433.29 : x
  2. Step 2: Convert to fraction form
    5,670.63/7,826.17 = 3,433.29/x
  3. Step 3: Cross multiply
    5,670.63x = 7,826.17 × 3,433.29
  4. Step 4: Simplify right side
    5,670.63x = 26,869,511.20
  5. Step 5: Solve for x
    x = 26,869,511.20/5,670.63
  6. Step 6: Final answer
    x = 4,738.36

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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.