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Finding the Fourth Proportional to 4,570.14, 6,855.14 and 1,450.14

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Solution

The fourth proportional to 4,570.14, 6,855.14 and 1,450.14 is: 2,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.14 : 6,855.14 = 1,450.14 : x
  2. Step 2: Convert to fraction form
    4,570.14/6,855.14 = 1,450.14/x
  3. Step 3: Cross multiply
    4,570.14x = 6,855.14 × 1,450.14
  4. Step 4: Simplify right side
    4,570.14x = 9,940,905.47
  5. Step 5: Solve for x
    x = 9,940,905.47/4,570.14
  6. Step 6: Final answer
    x = 2,175.19

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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.