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Finding the Fourth Proportional to 3,706.73, 5,557.47 and 1,856.52

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Solution

The fourth proportional to 3,706.73, 5,557.47 and 1,856.52 is: 2,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.73 : 5,557.47 = 1,856.52 : x
  2. Step 2: Convert to fraction form
    3,706.73/5,557.47 = 1,856.52/x
  3. Step 3: Cross multiply
    3,706.73x = 5,557.47 × 1,856.52
  4. Step 4: Simplify right side
    3,706.73x = 10,317,554.20
  5. Step 5: Solve for x
    x = 10,317,554.20/3,706.73
  6. Step 6: Final answer
    x = 2,783.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.