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Finding the Fourth Proportional to 4,880.71, 6,735.38 and 2,642.60

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Solution

The fourth proportional to 4,880.71, 6,735.38 and 2,642.60 is: 3,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.71 : 6,735.38 = 2,642.60 : x
  2. Step 2: Convert to fraction form
    4,880.71/6,735.38 = 2,642.60/x
  3. Step 3: Cross multiply
    4,880.71x = 6,735.38 × 2,642.60
  4. Step 4: Simplify right side
    4,880.71x = 17,798,918.81
  5. Step 5: Solve for x
    x = 17,798,918.81/4,880.71
  6. Step 6: Final answer
    x = 3,646.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.