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Finding the Fourth Proportional to 3,776.15, 5,210.95 and 2,097.67

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Solution

The fourth proportional to 3,776.15, 5,210.95 and 2,097.67 is: 2,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.15 : 5,210.95 = 2,097.67 : x
  2. Step 2: Convert to fraction form
    3,776.15/5,210.95 = 2,097.67/x
  3. Step 3: Cross multiply
    3,776.15x = 5,210.95 × 2,097.67
  4. Step 4: Simplify right side
    3,776.15x = 10,930,816.94
  5. Step 5: Solve for x
    x = 10,930,816.94/3,776.15
  6. Step 6: Final answer
    x = 2,894.70

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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.