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Finding the Fourth Proportional to 3,776.95, 5,212.01 and 2,098.47

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Solution

The fourth proportional to 3,776.95, 5,212.01 and 2,098.47 is: 2,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.95 : 5,212.01 = 2,098.47 : x
  2. Step 2: Convert to fraction form
    3,776.95/5,212.01 = 2,098.47/x
  3. Step 3: Cross multiply
    3,776.95x = 5,212.01 × 2,098.47
  4. Step 4: Simplify right side
    3,776.95x = 10,937,246.62
  5. Step 5: Solve for x
    x = 10,937,246.62/3,776.95
  6. Step 6: Final answer
    x = 2,895.79

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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.