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Finding the Fourth Proportional to 3,776.23, 5,211.19 and 2,097.63

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Solution

The fourth proportional to 3,776.23, 5,211.19 and 2,097.63 is: 2,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.23 : 5,211.19 = 2,097.63 : x
  2. Step 2: Convert to fraction form
    3,776.23/5,211.19 = 2,097.63/x
  3. Step 3: Cross multiply
    3,776.23x = 5,211.19 × 2,097.63
  4. Step 4: Simplify right side
    3,776.23x = 10,931,148.48
  5. Step 5: Solve for x
    x = 10,931,148.48/3,776.23
  6. Step 6: Final answer
    x = 2,894.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.