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Finding the Fourth Proportional to 4,713.36, 6,489.56 and 4,275.96

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Solution

The fourth proportional to 4,713.36, 6,489.56 and 4,275.96 is: 5,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.36 : 6,489.56 = 4,275.96 : x
  2. Step 2: Convert to fraction form
    4,713.36/6,489.56 = 4,275.96/x
  3. Step 3: Cross multiply
    4,713.36x = 6,489.56 × 4,275.96
  4. Step 4: Simplify right side
    4,713.36x = 27,749,098.98
  5. Step 5: Solve for x
    x = 27,749,098.98/4,713.36
  6. Step 6: Final answer
    x = 5,887.33

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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.