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Finding the Fourth Proportional to 4,234.60, 5,898.19 and 4,234.60

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Solution

The fourth proportional to 4,234.60, 5,898.19 and 4,234.60 is: 5,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.60 : 5,898.19 = 4,234.60 : x
  2. Step 2: Convert to fraction form
    4,234.60/5,898.19 = 4,234.60/x
  3. Step 3: Cross multiply
    4,234.60x = 5,898.19 × 4,234.60
  4. Step 4: Simplify right side
    4,234.60x = 24,976,475.37
  5. Step 5: Solve for x
    x = 24,976,475.37/4,234.60
  6. Step 6: Final answer
    x = 5,898.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.