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Finding the Fourth Proportional to 3,776.61, 5,211.65 and 2,097.95

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Solution

The fourth proportional to 3,776.61, 5,211.65 and 2,097.95 is: 2,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.61 : 5,211.65 = 2,097.95 : x
  2. Step 2: Convert to fraction form
    3,776.61/5,211.65 = 2,097.95/x
  3. Step 3: Cross multiply
    3,776.61x = 5,211.65 × 2,097.95
  4. Step 4: Simplify right side
    3,776.61x = 10,933,781.12
  5. Step 5: Solve for x
    x = 10,933,781.12/3,776.61
  6. Step 6: Final answer
    x = 2,895.13

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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.