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Finding the Fourth Proportional to 3,878.52, 5,352.10 and 2,110.10

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Solution

The fourth proportional to 3,878.52, 5,352.10 and 2,110.10 is: 2,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.52 : 5,352.10 = 2,110.10 : x
  2. Step 2: Convert to fraction form
    3,878.52/5,352.10 = 2,110.10/x
  3. Step 3: Cross multiply
    3,878.52x = 5,352.10 × 2,110.10
  4. Step 4: Simplify right side
    3,878.52x = 11,293,466.21
  5. Step 5: Solve for x
    x = 11,293,466.21/3,878.52
  6. Step 6: Final answer
    x = 2,911.80

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1.5x scale

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.