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Finding the Fourth Proportional to 6,544.75, 9,820.28 and 3,258.13

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Solution

The fourth proportional to 6,544.75, 9,820.28 and 3,258.13 is: 4,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.75 : 9,820.28 = 3,258.13 : x
  2. Step 2: Convert to fraction form
    6,544.75/9,820.28 = 3,258.13/x
  3. Step 3: Cross multiply
    6,544.75x = 9,820.28 × 3,258.13
  4. Step 4: Simplify right side
    6,544.75x = 31,995,732.59
  5. Step 5: Solve for x
    x = 31,995,732.59/6,544.75
  6. Step 6: Final answer
    x = 4,888.76

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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.