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Finding the Fourth Proportional to 3,887.52, 5,364 and 2,471.76

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Solution

The fourth proportional to 3,887.52, 5,364 and 2,471.76 is: 3,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.52 : 5,364 = 2,471.76 : x
  2. Step 2: Convert to fraction form
    3,887.52/5,364 = 2,471.76/x
  3. Step 3: Cross multiply
    3,887.52x = 5,364 × 2,471.76
  4. Step 4: Simplify right side
    3,887.52x = 13,258,520.64
  5. Step 5: Solve for x
    x = 13,258,520.64/3,887.52
  6. Step 6: Final answer
    x = 3,410.53

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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.