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Finding the Fourth Proportional to 4,725.34, 6,520.71 and 2,629.42

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Solution

The fourth proportional to 4,725.34, 6,520.71 and 2,629.42 is: 3,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.34 : 6,520.71 = 2,629.42 : x
  2. Step 2: Convert to fraction form
    4,725.34/6,520.71 = 2,629.42/x
  3. Step 3: Cross multiply
    4,725.34x = 6,520.71 × 2,629.42
  4. Step 4: Simplify right side
    4,725.34x = 17,145,685.29
  5. Step 5: Solve for x
    x = 17,145,685.29/4,725.34
  6. Step 6: Final answer
    x = 3,628.46

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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.