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Finding the Fourth Proportional to 3,406.83, 4,698.59 and 2,876.94

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Solution

The fourth proportional to 3,406.83, 4,698.59 and 2,876.94 is: 3,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.83 : 4,698.59 = 2,876.94 : x
  2. Step 2: Convert to fraction form
    3,406.83/4,698.59 = 2,876.94/x
  3. Step 3: Cross multiply
    3,406.83x = 4,698.59 × 2,876.94
  4. Step 4: Simplify right side
    3,406.83x = 13,517,561.51
  5. Step 5: Solve for x
    x = 13,517,561.51/3,406.83
  6. Step 6: Final answer
    x = 3,967.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.