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Finding the Fourth Proportional to 4,258.89, 6,389.15 and 1,661.67

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Solution

The fourth proportional to 4,258.89, 6,389.15 and 1,661.67 is: 2,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.89 : 6,389.15 = 1,661.67 : x
  2. Step 2: Convert to fraction form
    4,258.89/6,389.15 = 1,661.67/x
  3. Step 3: Cross multiply
    4,258.89x = 6,389.15 × 1,661.67
  4. Step 4: Simplify right side
    4,258.89x = 10,616,650.57
  5. Step 5: Solve for x
    x = 10,616,650.57/4,258.89
  6. Step 6: Final answer
    x = 2,492.82

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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.