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Finding the Fourth Proportional to 6,488.89, 9,735.86 and 2,594.41

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Solution

The fourth proportional to 6,488.89, 9,735.86 and 2,594.41 is: 3,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.89 : 9,735.86 = 2,594.41 : x
  2. Step 2: Convert to fraction form
    6,488.89/9,735.86 = 2,594.41/x
  3. Step 3: Cross multiply
    6,488.89x = 9,735.86 × 2,594.41
  4. Step 4: Simplify right side
    6,488.89x = 25,258,812.54
  5. Step 5: Solve for x
    x = 25,258,812.54/6,488.89
  6. Step 6: Final answer
    x = 3,892.62

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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.