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Finding the Fourth Proportional to 3,188.25, 4,780.58 and 2,534.31

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Solution

The fourth proportional to 3,188.25, 4,780.58 and 2,534.31 is: 3,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.25 : 4,780.58 = 2,534.31 : x
  2. Step 2: Convert to fraction form
    3,188.25/4,780.58 = 2,534.31/x
  3. Step 3: Cross multiply
    3,188.25x = 4,780.58 × 2,534.31
  4. Step 4: Simplify right side
    3,188.25x = 12,115,459.03
  5. Step 5: Solve for x
    x = 12,115,459.03/3,188.25
  6. Step 6: Final answer
    x = 3,800.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.