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Finding the Fourth Proportional to 4,000.30, 5,970.82 and 3,754.06

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Solution

The fourth proportional to 4,000.30, 5,970.82 and 3,754.06 is: 5,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.30 : 5,970.82 = 3,754.06 : x
  2. Step 2: Convert to fraction form
    4,000.30/5,970.82 = 3,754.06/x
  3. Step 3: Cross multiply
    4,000.30x = 5,970.82 × 3,754.06
  4. Step 4: Simplify right side
    4,000.30x = 22,414,797.76
  5. Step 5: Solve for x
    x = 22,414,797.76/4,000.30
  6. Step 6: Final answer
    x = 5,603.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.