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Finding the Fourth Proportional to 3,584.01, 4,948.34 and 2,743.21

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Solution

The fourth proportional to 3,584.01, 4,948.34 and 2,743.21 is: 3,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.01 : 4,948.34 = 2,743.21 : x
  2. Step 2: Convert to fraction form
    3,584.01/4,948.34 = 2,743.21/x
  3. Step 3: Cross multiply
    3,584.01x = 4,948.34 × 2,743.21
  4. Step 4: Simplify right side
    3,584.01x = 13,574,330.26
  5. Step 5: Solve for x
    x = 13,574,330.26/3,584.01
  6. Step 6: Final answer
    x = 3,787.47

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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.