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Finding the Fourth Proportional to 4,733.49, 7,097.49 and 1,956.99

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Solution

The fourth proportional to 4,733.49, 7,097.49 and 1,956.99 is: 2,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.49 : 7,097.49 = 1,956.99 : x
  2. Step 2: Convert to fraction form
    4,733.49/7,097.49 = 1,956.99/x
  3. Step 3: Cross multiply
    4,733.49x = 7,097.49 × 1,956.99
  4. Step 4: Simplify right side
    4,733.49x = 13,889,716.96
  5. Step 5: Solve for x
    x = 13,889,716.96/4,733.49
  6. Step 6: Final answer
    x = 2,934.35

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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.