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Finding the Fourth Proportional to 3,138.70, 4,706.70 and 1,578.10

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Solution

The fourth proportional to 3,138.70, 4,706.70 and 1,578.10 is: 2,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.70 : 4,706.70 = 1,578.10 : x
  2. Step 2: Convert to fraction form
    3,138.70/4,706.70 = 1,578.10/x
  3. Step 3: Cross multiply
    3,138.70x = 4,706.70 × 1,578.10
  4. Step 4: Simplify right side
    3,138.70x = 7,427,643.27
  5. Step 5: Solve for x
    x = 7,427,643.27/3,138.70
  6. Step 6: Final answer
    x = 2,366.47

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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.