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Finding the Fourth Proportional to 3,856.96, 5,322.65 and 2,284.75

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Solution

The fourth proportional to 3,856.96, 5,322.65 and 2,284.75 is: 3,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.96 : 5,322.65 = 2,284.75 : x
  2. Step 2: Convert to fraction form
    3,856.96/5,322.65 = 2,284.75/x
  3. Step 3: Cross multiply
    3,856.96x = 5,322.65 × 2,284.75
  4. Step 4: Simplify right side
    3,856.96x = 12,160,924.59
  5. Step 5: Solve for x
    x = 12,160,924.59/3,856.96
  6. Step 6: Final answer
    x = 3,152.98

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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.