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Finding the Fourth Proportional to 4,205.96, 5,804.54 and 2,787.24

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Solution

The fourth proportional to 4,205.96, 5,804.54 and 2,787.24 is: 3,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.96 : 5,804.54 = 2,787.24 : x
  2. Step 2: Convert to fraction form
    4,205.96/5,804.54 = 2,787.24/x
  3. Step 3: Cross multiply
    4,205.96x = 5,804.54 × 2,787.24
  4. Step 4: Simplify right side
    4,205.96x = 16,178,632.13
  5. Step 5: Solve for x
    x = 16,178,632.13/4,205.96
  6. Step 6: Final answer
    x = 3,846.60

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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.