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Finding the Fourth Proportional to 3,534.90, 4,878.06 and 2,119.38

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Solution

The fourth proportional to 3,534.90, 4,878.06 and 2,119.38 is: 2,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.90 : 4,878.06 = 2,119.38 : x
  2. Step 2: Convert to fraction form
    3,534.90/4,878.06 = 2,119.38/x
  3. Step 3: Cross multiply
    3,534.90x = 4,878.06 × 2,119.38
  4. Step 4: Simplify right side
    3,534.90x = 10,338,462.80
  5. Step 5: Solve for x
    x = 10,338,462.80/3,534.90
  6. Step 6: Final answer
    x = 2,924.68

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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.