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Finding the Fourth Proportional to 3,725.47, 5,146.39 and 3,528.64

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Solution

The fourth proportional to 3,725.47, 5,146.39 and 3,528.64 is: 4,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.47 : 5,146.39 = 3,528.64 : x
  2. Step 2: Convert to fraction form
    3,725.47/5,146.39 = 3,528.64/x
  3. Step 3: Cross multiply
    3,725.47x = 5,146.39 × 3,528.64
  4. Step 4: Simplify right side
    3,725.47x = 18,159,734.54
  5. Step 5: Solve for x
    x = 18,159,734.54/3,725.47
  6. Step 6: Final answer
    x = 4,874.49

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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.