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Finding the Fourth Proportional to 4,731.14, 7,097.56 and 1,956.30

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Solution

The fourth proportional to 4,731.14, 7,097.56 and 1,956.30 is: 2,934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.14 : 7,097.56 = 1,956.30 : x
  2. Step 2: Convert to fraction form
    4,731.14/7,097.56 = 1,956.30/x
  3. Step 3: Cross multiply
    4,731.14x = 7,097.56 × 1,956.30
  4. Step 4: Simplify right side
    4,731.14x = 13,884,951.74
  5. Step 5: Solve for x
    x = 13,884,951.74/4,731.14
  6. Step 6: Final answer
    x = 2,934.80

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Why These Related Problems?

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