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Finding the Fourth Proportional to 3,856.14, 5,323.05 and 2,597.94

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Solution

The fourth proportional to 3,856.14, 5,323.05 and 2,597.94 is: 3,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.14 : 5,323.05 = 2,597.94 : x
  2. Step 2: Convert to fraction form
    3,856.14/5,323.05 = 2,597.94/x
  3. Step 3: Cross multiply
    3,856.14x = 5,323.05 × 2,597.94
  4. Step 4: Simplify right side
    3,856.14x = 13,828,964.52
  5. Step 5: Solve for x
    x = 13,828,964.52/3,856.14
  6. Step 6: Final answer
    x = 3,586.22

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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.