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Finding the Fourth Proportional to 4,892.86, 7,337.22 and 1,604.14

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Solution

The fourth proportional to 4,892.86, 7,337.22 and 1,604.14 is: 2,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.86 : 7,337.22 = 1,604.14 : x
  2. Step 2: Convert to fraction form
    4,892.86/7,337.22 = 1,604.14/x
  3. Step 3: Cross multiply
    4,892.86x = 7,337.22 × 1,604.14
  4. Step 4: Simplify right side
    4,892.86x = 11,769,928.09
  5. Step 5: Solve for x
    x = 11,769,928.09/4,892.86
  6. Step 6: Final answer
    x = 2,405.53

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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.