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Finding the Fourth Proportional to 3,586.58, 5,377.67 and 1,245.58

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Solution

The fourth proportional to 3,586.58, 5,377.67 and 1,245.58 is: 1,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.58 : 5,377.67 = 1,245.58 : x
  2. Step 2: Convert to fraction form
    3,586.58/5,377.67 = 1,245.58/x
  3. Step 3: Cross multiply
    3,586.58x = 5,377.67 × 1,245.58
  4. Step 4: Simplify right side
    3,586.58x = 6,698,299.69
  5. Step 5: Solve for x
    x = 6,698,299.69/3,586.58
  6. Step 6: Final answer
    x = 1,867.60

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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.