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Finding the Fourth Proportional to 3,887.16, 5,366.70 and 2,471.64

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Solution

The fourth proportional to 3,887.16, 5,366.70 and 2,471.64 is: 3,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.16 : 5,366.70 = 2,471.64 : x
  2. Step 2: Convert to fraction form
    3,887.16/5,366.70 = 2,471.64/x
  3. Step 3: Cross multiply
    3,887.16x = 5,366.70 × 2,471.64
  4. Step 4: Simplify right side
    3,887.16x = 13,264,550.39
  5. Step 5: Solve for x
    x = 13,264,550.39/3,887.16
  6. Step 6: Final answer
    x = 3,412.40

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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.