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Finding the Fourth Proportional to 3,880.01, 5,353.63 and 3,746.67

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Solution

The fourth proportional to 3,880.01, 5,353.63 and 3,746.67 is: 5,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.01 : 5,353.63 = 3,746.67 : x
  2. Step 2: Convert to fraction form
    3,880.01/5,353.63 = 3,746.67/x
  3. Step 3: Cross multiply
    3,880.01x = 5,353.63 × 3,746.67
  4. Step 4: Simplify right side
    3,880.01x = 20,058,255.47
  5. Step 5: Solve for x
    x = 20,058,255.47/3,880.01
  6. Step 6: Final answer
    x = 5,169.64

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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.