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Finding the Fourth Proportional to 3,494.90, 4,821.38 and 2,077.79

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Solution

The fourth proportional to 3,494.90, 4,821.38 and 2,077.79 is: 2,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.90 : 4,821.38 = 2,077.79 : x
  2. Step 2: Convert to fraction form
    3,494.90/4,821.38 = 2,077.79/x
  3. Step 3: Cross multiply
    3,494.90x = 4,821.38 × 2,077.79
  4. Step 4: Simplify right side
    3,494.90x = 10,017,783.63
  5. Step 5: Solve for x
    x = 10,017,783.63/3,494.90
  6. Step 6: Final answer
    x = 2,866.40

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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.