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Finding the Fourth Proportional to 3,138.93, 4,707.32 and 1,578.33

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Solution

The fourth proportional to 3,138.93, 4,707.32 and 1,578.33 is: 2,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.93 : 4,707.32 = 1,578.33 : x
  2. Step 2: Convert to fraction form
    3,138.93/4,707.32 = 1,578.33/x
  3. Step 3: Cross multiply
    3,138.93x = 4,707.32 × 1,578.33
  4. Step 4: Simplify right side
    3,138.93x = 7,429,696.48
  5. Step 5: Solve for x
    x = 7,429,696.48/3,138.93
  6. Step 6: Final answer
    x = 2,366.95

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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.