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Finding the Fourth Proportional to 3,602.58, 5,403.87 and 2,062.50

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Solution

The fourth proportional to 3,602.58, 5,403.87 and 2,062.50 is: 3,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.58 : 5,403.87 = 2,062.50 : x
  2. Step 2: Convert to fraction form
    3,602.58/5,403.87 = 2,062.50/x
  3. Step 3: Cross multiply
    3,602.58x = 5,403.87 × 2,062.50
  4. Step 4: Simplify right side
    3,602.58x = 11,145,481.88
  5. Step 5: Solve for x
    x = 11,145,481.88/3,602.58
  6. Step 6: Final answer
    x = 3,093.75

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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.