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Finding the Fourth Proportional to 4,321.67, 6,482.43 and 1,399.97

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Solution

The fourth proportional to 4,321.67, 6,482.43 and 1,399.97 is: 2,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.67 : 6,482.43 = 1,399.97 : x
  2. Step 2: Convert to fraction form
    4,321.67/6,482.43 = 1,399.97/x
  3. Step 3: Cross multiply
    4,321.67x = 6,482.43 × 1,399.97
  4. Step 4: Simplify right side
    4,321.67x = 9,075,175.11
  5. Step 5: Solve for x
    x = 9,075,175.11/4,321.67
  6. Step 6: Final answer
    x = 2,099.93

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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.