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Finding the Fourth Proportional to 3,463.94, 4,776.60 and 2,283.50

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Solution

The fourth proportional to 3,463.94, 4,776.60 and 2,283.50 is: 3,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.94 : 4,776.60 = 2,283.50 : x
  2. Step 2: Convert to fraction form
    3,463.94/4,776.60 = 2,283.50/x
  3. Step 3: Cross multiply
    3,463.94x = 4,776.60 × 2,283.50
  4. Step 4: Simplify right side
    3,463.94x = 10,907,366.10
  5. Step 5: Solve for x
    x = 10,907,366.10/3,463.94
  6. Step 6: Final answer
    x = 3,148.83

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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.