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Finding the Fourth Proportional to 3,856.71, 5,322.29 and 2,088.35

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Solution

The fourth proportional to 3,856.71, 5,322.29 and 2,088.35 is: 2,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.71 : 5,322.29 = 2,088.35 : x
  2. Step 2: Convert to fraction form
    3,856.71/5,322.29 = 2,088.35/x
  3. Step 3: Cross multiply
    3,856.71x = 5,322.29 × 2,088.35
  4. Step 4: Simplify right side
    3,856.71x = 11,114,804.32
  5. Step 5: Solve for x
    x = 11,114,804.32/3,856.71
  6. Step 6: Final answer
    x = 2,881.94

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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.