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Finding the Fourth Proportional to 4,673.43, 7,011.66 and 3,119.74

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Solution

The fourth proportional to 4,673.43, 7,011.66 and 3,119.74 is: 4,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.43 : 7,011.66 = 3,119.74 : x
  2. Step 2: Convert to fraction form
    4,673.43/7,011.66 = 3,119.74/x
  3. Step 3: Cross multiply
    4,673.43x = 7,011.66 × 3,119.74
  4. Step 4: Simplify right side
    4,673.43x = 21,874,570.76
  5. Step 5: Solve for x
    x = 21,874,570.76/4,673.43
  6. Step 6: Final answer
    x = 4,680.63

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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.