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Finding the Fourth Proportional to 3,956.88, 5,460.51 and 2,164.41

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Solution

The fourth proportional to 3,956.88, 5,460.51 and 2,164.41 is: 2,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.88 : 5,460.51 = 2,164.41 : x
  2. Step 2: Convert to fraction form
    3,956.88/5,460.51 = 2,164.41/x
  3. Step 3: Cross multiply
    3,956.88x = 5,460.51 × 2,164.41
  4. Step 4: Simplify right side
    3,956.88x = 11,818,782.45
  5. Step 5: Solve for x
    x = 11,818,782.45/3,956.88
  6. Step 6: Final answer
    x = 2,986.89

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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.