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Finding the Fourth Proportional to 4,859.70, 7,296.83 and 2,782.05

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Solution

The fourth proportional to 4,859.70, 7,296.83 and 2,782.05 is: 4,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.70 : 7,296.83 = 2,782.05 : x
  2. Step 2: Convert to fraction form
    4,859.70/7,296.83 = 2,782.05/x
  3. Step 3: Cross multiply
    4,859.70x = 7,296.83 × 2,782.05
  4. Step 4: Simplify right side
    4,859.70x = 20,300,130.71
  5. Step 5: Solve for x
    x = 20,300,130.71/4,859.70
  6. Step 6: Final answer
    x = 4,177.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.