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Finding the Fourth Proportional to 3,956.63, 5,460.23 and 2,561.81

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Solution

The fourth proportional to 3,956.63, 5,460.23 and 2,561.81 is: 3,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.63 : 5,460.23 = 2,561.81 : x
  2. Step 2: Convert to fraction form
    3,956.63/5,460.23 = 2,561.81/x
  3. Step 3: Cross multiply
    3,956.63x = 5,460.23 × 2,561.81
  4. Step 4: Simplify right side
    3,956.63x = 13,988,050.92
  5. Step 5: Solve for x
    x = 13,988,050.92/3,956.63
  6. Step 6: Final answer
    x = 3,535.35

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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.