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Finding the Fourth Proportional to 4,971.69, 7,458.39 and 2,048.40

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Solution

The fourth proportional to 4,971.69, 7,458.39 and 2,048.40 is: 3,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.69 : 7,458.39 = 2,048.40 : x
  2. Step 2: Convert to fraction form
    4,971.69/7,458.39 = 2,048.40/x
  3. Step 3: Cross multiply
    4,971.69x = 7,458.39 × 2,048.40
  4. Step 4: Simplify right side
    4,971.69x = 15,277,766.08
  5. Step 5: Solve for x
    x = 15,277,766.08/4,971.69
  6. Step 6: Final answer
    x = 3,072.95

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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.