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Finding the Fourth Proportional to 3,856.85, 5,322.48 and 2,088.47

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Solution

The fourth proportional to 3,856.85, 5,322.48 and 2,088.47 is: 2,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.85 : 5,322.48 = 2,088.47 : x
  2. Step 2: Convert to fraction form
    3,856.85/5,322.48 = 2,088.47/x
  3. Step 3: Cross multiply
    3,856.85x = 5,322.48 × 2,088.47
  4. Step 4: Simplify right side
    3,856.85x = 11,115,839.81
  5. Step 5: Solve for x
    x = 11,115,839.81/3,856.85
  6. Step 6: Final answer
    x = 2,882.10

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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.