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Finding the Fourth Proportional to 3,856.57, 5,322.08 and 2,088.17

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Solution

The fourth proportional to 3,856.57, 5,322.08 and 2,088.17 is: 2,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.57 : 5,322.08 = 2,088.17 : x
  2. Step 2: Convert to fraction form
    3,856.57/5,322.08 = 2,088.17/x
  3. Step 3: Cross multiply
    3,856.57x = 5,322.08 × 2,088.17
  4. Step 4: Simplify right side
    3,856.57x = 11,113,370.74
  5. Step 5: Solve for x
    x = 11,113,370.74/3,856.57
  6. Step 6: Final answer
    x = 2,881.67

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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.