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Finding the Fourth Proportional to 4,365, 6,538.59 and 3,632.22

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Solution

The fourth proportional to 4,365, 6,538.59 and 3,632.22 is: 5,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365 : 6,538.59 = 3,632.22 : x
  2. Step 2: Convert to fraction form
    4,365/6,538.59 = 3,632.22/x
  3. Step 3: Cross multiply
    4,365x = 6,538.59 × 3,632.22
  4. Step 4: Simplify right side
    4,365x = 23,749,597.37
  5. Step 5: Solve for x
    x = 23,749,597.37/4,365
  6. Step 6: Final answer
    x = 5,440.92

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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.