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Finding the Fourth Proportional to 3,899.70, 5,381.58 and 2,407.28

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Solution

The fourth proportional to 3,899.70, 5,381.58 and 2,407.28 is: 3,322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.70 : 5,381.58 = 2,407.28 : x
  2. Step 2: Convert to fraction form
    3,899.70/5,381.58 = 2,407.28/x
  3. Step 3: Cross multiply
    3,899.70x = 5,381.58 × 2,407.28
  4. Step 4: Simplify right side
    3,899.70x = 12,954,942.99
  5. Step 5: Solve for x
    x = 12,954,942.99/3,899.70
  6. Step 6: Final answer
    x = 3,322.04

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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.