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Finding the Fourth Proportional to 4,733.82, 7,095.95 and 1,956.66

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Solution

The fourth proportional to 4,733.82, 7,095.95 and 1,956.66 is: 2,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.82 : 7,095.95 = 1,956.66 : x
  2. Step 2: Convert to fraction form
    4,733.82/7,095.95 = 1,956.66/x
  3. Step 3: Cross multiply
    4,733.82x = 7,095.95 × 1,956.66
  4. Step 4: Simplify right side
    4,733.82x = 13,884,351.74
  5. Step 5: Solve for x
    x = 13,884,351.74/4,733.82
  6. Step 6: Final answer
    x = 2,933.01

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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.