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Finding the Fourth Proportional to 4,570.32, 6,855.42 and 1,450.32

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Solution

The fourth proportional to 4,570.32, 6,855.42 and 1,450.32 is: 2,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.32 : 6,855.42 = 1,450.32 : x
  2. Step 2: Convert to fraction form
    4,570.32/6,855.42 = 1,450.32/x
  3. Step 3: Cross multiply
    4,570.32x = 6,855.42 × 1,450.32
  4. Step 4: Simplify right side
    4,570.32x = 9,942,552.73
  5. Step 5: Solve for x
    x = 9,942,552.73/4,570.32
  6. Step 6: Final answer
    x = 2,175.46

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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.