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Finding the Fourth Proportional to 4,378.54, 6,568.67 and 1,258.56

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Solution

The fourth proportional to 4,378.54, 6,568.67 and 1,258.56 is: 1,888.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.54 : 6,568.67 = 1,258.56 : x
  2. Step 2: Convert to fraction form
    4,378.54/6,568.67 = 1,258.56/x
  3. Step 3: Cross multiply
    4,378.54x = 6,568.67 × 1,258.56
  4. Step 4: Simplify right side
    4,378.54x = 8,267,059.02
  5. Step 5: Solve for x
    x = 8,267,059.02/4,378.54
  6. Step 6: Final answer
    x = 1,888.09

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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.