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Finding the Fourth Proportional to 3,586.58, 4,951.80 and 3,212.90

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Solution

The fourth proportional to 3,586.58, 4,951.80 and 3,212.90 is: 4,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.58 : 4,951.80 = 3,212.90 : x
  2. Step 2: Convert to fraction form
    3,586.58/4,951.80 = 3,212.90/x
  3. Step 3: Cross multiply
    3,586.58x = 4,951.80 × 3,212.90
  4. Step 4: Simplify right side
    3,586.58x = 15,909,638.22
  5. Step 5: Solve for x
    x = 15,909,638.22/3,586.58
  6. Step 6: Final answer
    x = 4,435.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.