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Finding the Fourth Proportional to 4,880.35, 6,734.88 and 2,642.22

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Solution

The fourth proportional to 4,880.35, 6,734.88 and 2,642.22 is: 3,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.35 : 6,734.88 = 2,642.22 : x
  2. Step 2: Convert to fraction form
    4,880.35/6,734.88 = 2,642.22/x
  3. Step 3: Cross multiply
    4,880.35x = 6,734.88 × 2,642.22
  4. Step 4: Simplify right side
    4,880.35x = 17,795,021.42
  5. Step 5: Solve for x
    x = 17,795,021.42/4,880.35
  6. Step 6: Final answer
    x = 3,646.26

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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.