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Finding the Fourth Proportional to 5,143.64, 7,713.91 and 1,633.51

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Solution

The fourth proportional to 5,143.64, 7,713.91 and 1,633.51 is: 2,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.64 : 7,713.91 = 1,633.51 : x
  2. Step 2: Convert to fraction form
    5,143.64/7,713.91 = 1,633.51/x
  3. Step 3: Cross multiply
    5,143.64x = 7,713.91 × 1,633.51
  4. Step 4: Simplify right side
    5,143.64x = 12,600,749.12
  5. Step 5: Solve for x
    x = 12,600,749.12/5,143.64
  6. Step 6: Final answer
    x = 2,449.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.