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Finding the Fourth Proportional to 4,884.63, 6,740.81 and 2,646.53

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Solution

The fourth proportional to 4,884.63, 6,740.81 and 2,646.53 is: 3,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.63 : 6,740.81 = 2,646.53 : x
  2. Step 2: Convert to fraction form
    4,884.63/6,740.81 = 2,646.53/x
  3. Step 3: Cross multiply
    4,884.63x = 6,740.81 × 2,646.53
  4. Step 4: Simplify right side
    4,884.63x = 17,839,755.89
  5. Step 5: Solve for x
    x = 17,839,755.89/4,884.63
  6. Step 6: Final answer
    x = 3,652.22

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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.