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Finding the Fourth Proportional to 4,884.68, 6,743.58 and 4,588.22

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Solution

The fourth proportional to 4,884.68, 6,743.58 and 4,588.22 is: 6,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.68 : 6,743.58 = 4,588.22 : x
  2. Step 2: Convert to fraction form
    4,884.68/6,743.58 = 4,588.22/x
  3. Step 3: Cross multiply
    4,884.68x = 6,743.58 × 4,588.22
  4. Step 4: Simplify right side
    4,884.68x = 30,941,028.63
  5. Step 5: Solve for x
    x = 30,941,028.63/4,884.68
  6. Step 6: Final answer
    x = 6,334.30

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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.