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Finding the Fourth Proportional to 3,776.59, 5,211.69 and 2,098.15

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Solution

The fourth proportional to 3,776.59, 5,211.69 and 2,098.15 is: 2,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.59 : 5,211.69 = 2,098.15 : x
  2. Step 2: Convert to fraction form
    3,776.59/5,211.69 = 2,098.15/x
  3. Step 3: Cross multiply
    3,776.59x = 5,211.69 × 2,098.15
  4. Step 4: Simplify right side
    3,776.59x = 10,934,920.40
  5. Step 5: Solve for x
    x = 10,934,920.40/3,776.59
  6. Step 6: Final answer
    x = 2,895.45

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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.