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Finding the Fourth Proportional to 4,892.58, 7,339.14 and 1,605.96

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Solution

The fourth proportional to 4,892.58, 7,339.14 and 1,605.96 is: 2,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.58 : 7,339.14 = 1,605.96 : x
  2. Step 2: Convert to fraction form
    4,892.58/7,339.14 = 1,605.96/x
  3. Step 3: Cross multiply
    4,892.58x = 7,339.14 × 1,605.96
  4. Step 4: Simplify right side
    4,892.58x = 11,786,365.27
  5. Step 5: Solve for x
    x = 11,786,365.27/4,892.58
  6. Step 6: Final answer
    x = 2,409.03

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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.