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Finding the Fourth Proportional to 4,735.31, 6,534.94 and 2,639.44

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Solution

The fourth proportional to 4,735.31, 6,534.94 and 2,639.44 is: 3,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.31 : 6,534.94 = 2,639.44 : x
  2. Step 2: Convert to fraction form
    4,735.31/6,534.94 = 2,639.44/x
  3. Step 3: Cross multiply
    4,735.31x = 6,534.94 × 2,639.44
  4. Step 4: Simplify right side
    4,735.31x = 17,248,559.10
  5. Step 5: Solve for x
    x = 17,248,559.10/4,735.31
  6. Step 6: Final answer
    x = 3,642.54

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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.