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Finding the Fourth Proportional to 3,535.71, 4,880.16 and 2,044.56

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Solution

The fourth proportional to 3,535.71, 4,880.16 and 2,044.56 is: 2,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.71 : 4,880.16 = 2,044.56 : x
  2. Step 2: Convert to fraction form
    3,535.71/4,880.16 = 2,044.56/x
  3. Step 3: Cross multiply
    3,535.71x = 4,880.16 × 2,044.56
  4. Step 4: Simplify right side
    3,535.71x = 9,977,769.71
  5. Step 5: Solve for x
    x = 9,977,769.71/3,535.71
  6. Step 6: Final answer
    x = 2,822.00

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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.