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Finding the Fourth Proportional to 4,003.98, 6,001.80 and 1,665.24

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Solution

The fourth proportional to 4,003.98, 6,001.80 and 1,665.24 is: 2,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.98 : 6,001.80 = 1,665.24 : x
  2. Step 2: Convert to fraction form
    4,003.98/6,001.80 = 1,665.24/x
  3. Step 3: Cross multiply
    4,003.98x = 6,001.80 × 1,665.24
  4. Step 4: Simplify right side
    4,003.98x = 9,994,437.43
  5. Step 5: Solve for x
    x = 9,994,437.43/4,003.98
  6. Step 6: Final answer
    x = 2,496.13

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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.