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Finding the Fourth Proportional to 4,880.40, 6,735.36 and 2,784.48

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Solution

The fourth proportional to 4,880.40, 6,735.36 and 2,784.48 is: 3,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.40 : 6,735.36 = 2,784.48 : x
  2. Step 2: Convert to fraction form
    4,880.40/6,735.36 = 2,784.48/x
  3. Step 3: Cross multiply
    4,880.40x = 6,735.36 × 2,784.48
  4. Step 4: Simplify right side
    4,880.40x = 18,754,475.21
  5. Step 5: Solve for x
    x = 18,754,475.21/4,880.40
  6. Step 6: Final answer
    x = 3,842.82

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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.