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Finding the Fourth Proportional to 4,602.83, 6,910.26 and 2,732.13

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Solution

The fourth proportional to 4,602.83, 6,910.26 and 2,732.13 is: 4,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.83 : 6,910.26 = 2,732.13 : x
  2. Step 2: Convert to fraction form
    4,602.83/6,910.26 = 2,732.13/x
  3. Step 3: Cross multiply
    4,602.83x = 6,910.26 × 2,732.13
  4. Step 4: Simplify right side
    4,602.83x = 18,879,733.78
  5. Step 5: Solve for x
    x = 18,879,733.78/4,602.83
  6. Step 6: Final answer
    x = 4,101.77

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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.