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Finding the Fourth Proportional to 4,669.71, 7,004.41 and 1,896.31

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Solution

The fourth proportional to 4,669.71, 7,004.41 and 1,896.31 is: 2,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.71 : 7,004.41 = 1,896.31 : x
  2. Step 2: Convert to fraction form
    4,669.71/7,004.41 = 1,896.31/x
  3. Step 3: Cross multiply
    4,669.71x = 7,004.41 × 1,896.31
  4. Step 4: Simplify right side
    4,669.71x = 13,282,532.73
  5. Step 5: Solve for x
    x = 13,282,532.73/4,669.71
  6. Step 6: Final answer
    x = 2,844.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.