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Finding the Fourth Proportional to 4,570.14, 6,855.22 and 1,492.14

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Solution

The fourth proportional to 4,570.14, 6,855.22 and 1,492.14 is: 2,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.14 : 6,855.22 = 1,492.14 : x
  2. Step 2: Convert to fraction form
    4,570.14/6,855.22 = 1,492.14/x
  3. Step 3: Cross multiply
    4,570.14x = 6,855.22 × 1,492.14
  4. Step 4: Simplify right side
    4,570.14x = 10,228,947.97
  5. Step 5: Solve for x
    x = 10,228,947.97/4,570.14
  6. Step 6: Final answer
    x = 2,238.21

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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.