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Finding the Fourth Proportional to 4,731.42, 7,096.54 and 1,957.75

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Solution

The fourth proportional to 4,731.42, 7,096.54 and 1,957.75 is: 2,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.42 : 7,096.54 = 1,957.75 : x
  2. Step 2: Convert to fraction form
    4,731.42/7,096.54 = 1,957.75/x
  3. Step 3: Cross multiply
    4,731.42x = 7,096.54 × 1,957.75
  4. Step 4: Simplify right side
    4,731.42x = 13,893,251.19
  5. Step 5: Solve for x
    x = 13,893,251.19/4,731.42
  6. Step 6: Final answer
    x = 2,936.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.