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Finding the Fourth Proportional to 3,880.80, 5,343.12 and 3,615.84

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Solution

The fourth proportional to 3,880.80, 5,343.12 and 3,615.84 is: 4,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.80 : 5,343.12 = 3,615.84 : x
  2. Step 2: Convert to fraction form
    3,880.80/5,343.12 = 3,615.84/x
  3. Step 3: Cross multiply
    3,880.80x = 5,343.12 × 3,615.84
  4. Step 4: Simplify right side
    3,880.80x = 19,319,867.02
  5. Step 5: Solve for x
    x = 19,319,867.02/3,880.80
  6. Step 6: Final answer
    x = 4,978.32

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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.