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Finding the Fourth Proportional to 4,698.43, 6,483.42 and 2,709.14

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Solution

The fourth proportional to 4,698.43, 6,483.42 and 2,709.14 is: 3,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.43 : 6,483.42 = 2,709.14 : x
  2. Step 2: Convert to fraction form
    4,698.43/6,483.42 = 2,709.14/x
  3. Step 3: Cross multiply
    4,698.43x = 6,483.42 × 2,709.14
  4. Step 4: Simplify right side
    4,698.43x = 17,564,460.04
  5. Step 5: Solve for x
    x = 17,564,460.04/4,698.43
  6. Step 6: Final answer
    x = 3,738.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.