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Finding the Fourth Proportional to 3,800.54, 5,689.80 and 2,335.25

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Solution

The fourth proportional to 3,800.54, 5,689.80 and 2,335.25 is: 3,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.54 : 5,689.80 = 2,335.25 : x
  2. Step 2: Convert to fraction form
    3,800.54/5,689.80 = 2,335.25/x
  3. Step 3: Cross multiply
    3,800.54x = 5,689.80 × 2,335.25
  4. Step 4: Simplify right side
    3,800.54x = 13,287,077.00
  5. Step 5: Solve for x
    x = 13,287,077.00/3,800.54
  6. Step 6: Final answer
    x = 3,496.11

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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.