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Finding the Fourth Proportional to 4,205.84, 5,804.60 and 2,879.04

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Solution

The fourth proportional to 4,205.84, 5,804.60 and 2,879.04 is: 3,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.84 : 5,804.60 = 2,879.04 : x
  2. Step 2: Convert to fraction form
    4,205.84/5,804.60 = 2,879.04/x
  3. Step 3: Cross multiply
    4,205.84x = 5,804.60 × 2,879.04
  4. Step 4: Simplify right side
    4,205.84x = 16,711,675.58
  5. Step 5: Solve for x
    x = 16,711,675.58/4,205.84
  6. Step 6: Final answer
    x = 3,973.45

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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.