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Finding the Fourth Proportional to 5,601.93, 7,729.70 and 3,365.04

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Solution

The fourth proportional to 5,601.93, 7,729.70 and 3,365.04 is: 4,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.93 : 7,729.70 = 3,365.04 : x
  2. Step 2: Convert to fraction form
    5,601.93/7,729.70 = 3,365.04/x
  3. Step 3: Cross multiply
    5,601.93x = 7,729.70 × 3,365.04
  4. Step 4: Simplify right side
    5,601.93x = 26,010,749.69
  5. Step 5: Solve for x
    x = 26,010,749.69/5,601.93
  6. Step 6: Final answer
    x = 4,643.18

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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.