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Finding the Fourth Proportional to 4,206.23, 5,804.87 and 2,787.47

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Solution

The fourth proportional to 4,206.23, 5,804.87 and 2,787.47 is: 3,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.23 : 5,804.87 = 2,787.47 : x
  2. Step 2: Convert to fraction form
    4,206.23/5,804.87 = 2,787.47/x
  3. Step 3: Cross multiply
    4,206.23x = 5,804.87 × 2,787.47
  4. Step 4: Simplify right side
    4,206.23x = 16,180,900.98
  5. Step 5: Solve for x
    x = 16,180,900.98/4,206.23
  6. Step 6: Final answer
    x = 3,846.89

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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.