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Finding the Fourth Proportional to 3,903.96, 5,856.76 and 2,054.06

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Solution

The fourth proportional to 3,903.96, 5,856.76 and 2,054.06 is: 3,081.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.96 : 5,856.76 = 2,054.06 : x
  2. Step 2: Convert to fraction form
    3,903.96/5,856.76 = 2,054.06/x
  3. Step 3: Cross multiply
    3,903.96x = 5,856.76 × 2,054.06
  4. Step 4: Simplify right side
    3,903.96x = 12,030,136.45
  5. Step 5: Solve for x
    x = 12,030,136.45/3,903.96
  6. Step 6: Final answer
    x = 3,081.52

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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.