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Finding the Fourth Proportional to 4,234.70, 5,843.70 and 2,466.20

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Solution

The fourth proportional to 4,234.70, 5,843.70 and 2,466.20 is: 3,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.70 : 5,843.70 = 2,466.20 : x
  2. Step 2: Convert to fraction form
    4,234.70/5,843.70 = 2,466.20/x
  3. Step 3: Cross multiply
    4,234.70x = 5,843.70 × 2,466.20
  4. Step 4: Simplify right side
    4,234.70x = 14,411,732.94
  5. Step 5: Solve for x
    x = 14,411,732.94/4,234.70
  6. Step 6: Final answer
    x = 3,403.25

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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.