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Finding the Fourth Proportional to 5,535.30, 8,304.17 and 1,640.01

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Solution

The fourth proportional to 5,535.30, 8,304.17 and 1,640.01 is: 2,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.30 : 8,304.17 = 1,640.01 : x
  2. Step 2: Convert to fraction form
    5,535.30/8,304.17 = 1,640.01/x
  3. Step 3: Cross multiply
    5,535.30x = 8,304.17 × 1,640.01
  4. Step 4: Simplify right side
    5,535.30x = 13,618,921.84
  5. Step 5: Solve for x
    x = 13,618,921.84/5,535.30
  6. Step 6: Final answer
    x = 2,460.38

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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.