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Finding the Fourth Proportional to 3,856.34, 5,782.08 and 2,126.18

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Solution

The fourth proportional to 3,856.34, 5,782.08 and 2,126.18 is: 3,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.34 : 5,782.08 = 2,126.18 : x
  2. Step 2: Convert to fraction form
    3,856.34/5,782.08 = 2,126.18/x
  3. Step 3: Cross multiply
    3,856.34x = 5,782.08 × 2,126.18
  4. Step 4: Simplify right side
    3,856.34x = 12,293,742.85
  5. Step 5: Solve for x
    x = 12,293,742.85/3,856.34
  6. Step 6: Final answer
    x = 3,187.93

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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.