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Finding the Fourth Proportional to 3,586.83, 5,379.03 and 1,365.14

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Solution

The fourth proportional to 3,586.83, 5,379.03 and 1,365.14 is: 2,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.83 : 5,379.03 = 1,365.14 : x
  2. Step 2: Convert to fraction form
    3,586.83/5,379.03 = 1,365.14/x
  3. Step 3: Cross multiply
    3,586.83x = 5,379.03 × 1,365.14
  4. Step 4: Simplify right side
    3,586.83x = 7,343,129.01
  5. Step 5: Solve for x
    x = 7,343,129.01/3,586.83
  6. Step 6: Final answer
    x = 2,047.25

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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.