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Finding the Fourth Proportional to 3,586.53, 5,377.67 and 1,365.53

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Solution

The fourth proportional to 3,586.53, 5,377.67 and 1,365.53 is: 2,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.53 : 5,377.67 = 1,365.53 : x
  2. Step 2: Convert to fraction form
    3,586.53/5,377.67 = 1,365.53/x
  3. Step 3: Cross multiply
    3,586.53x = 5,377.67 × 1,365.53
  4. Step 4: Simplify right side
    3,586.53x = 7,343,336.00
  5. Step 5: Solve for x
    x = 7,343,336.00/3,586.53
  6. Step 6: Final answer
    x = 2,047.48

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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.