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Finding the Fourth Proportional to 3,052.12, 4,578.30 and 1,000.12

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Solution

The fourth proportional to 3,052.12, 4,578.30 and 1,000.12 is: 1,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.12 : 4,578.30 = 1,000.12 : x
  2. Step 2: Convert to fraction form
    3,052.12/4,578.30 = 1,000.12/x
  3. Step 3: Cross multiply
    3,052.12x = 4,578.30 × 1,000.12
  4. Step 4: Simplify right side
    3,052.12x = 4,578,849.40
  5. Step 5: Solve for x
    x = 4,578,849.40/3,052.12
  6. Step 6: Final answer
    x = 1,500.22

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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.