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Finding the Fourth Proportional to 3,856.78, 5,322.37 and 2,088.39

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Solution

The fourth proportional to 3,856.78, 5,322.37 and 2,088.39 is: 2,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.78 : 5,322.37 = 2,088.39 : x
  2. Step 2: Convert to fraction form
    3,856.78/5,322.37 = 2,088.39/x
  3. Step 3: Cross multiply
    3,856.78x = 5,322.37 × 2,088.39
  4. Step 4: Simplify right side
    3,856.78x = 11,115,162.89
  5. Step 5: Solve for x
    x = 11,115,162.89/3,856.78
  6. Step 6: Final answer
    x = 2,881.98

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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.