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Finding the Fourth Proportional to 4,640.79, 6,405.53 and 2,871.40

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Solution

The fourth proportional to 4,640.79, 6,405.53 and 2,871.40 is: 3,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.79 : 6,405.53 = 2,871.40 : x
  2. Step 2: Convert to fraction form
    4,640.79/6,405.53 = 2,871.40/x
  3. Step 3: Cross multiply
    4,640.79x = 6,405.53 × 2,871.40
  4. Step 4: Simplify right side
    4,640.79x = 18,392,836.63
  5. Step 5: Solve for x
    x = 18,392,836.63/4,640.79
  6. Step 6: Final answer
    x = 3,963.30

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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.