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Finding the Fourth Proportional to 4,739.68, 7,104.21 and 1,616.77

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Solution

The fourth proportional to 4,739.68, 7,104.21 and 1,616.77 is: 2,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.68 : 7,104.21 = 1,616.77 : x
  2. Step 2: Convert to fraction form
    4,739.68/7,104.21 = 1,616.77/x
  3. Step 3: Cross multiply
    4,739.68x = 7,104.21 × 1,616.77
  4. Step 4: Simplify right side
    4,739.68x = 11,485,873.60
  5. Step 5: Solve for x
    x = 11,485,873.60/4,739.68
  6. Step 6: Final answer
    x = 2,423.34

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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.