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Finding the Fourth Proportional to 4,208.07, 6,313.01 and 2,100.83

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Solution

The fourth proportional to 4,208.07, 6,313.01 and 2,100.83 is: 3,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.07 : 6,313.01 = 2,100.83 : x
  2. Step 2: Convert to fraction form
    4,208.07/6,313.01 = 2,100.83/x
  3. Step 3: Cross multiply
    4,208.07x = 6,313.01 × 2,100.83
  4. Step 4: Simplify right side
    4,208.07x = 13,262,518.73
  5. Step 5: Solve for x
    x = 13,262,518.73/4,208.07
  6. Step 6: Final answer
    x = 3,151.69

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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.