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Finding the Fourth Proportional to 5,128.14, 7,078.23 and 3,636.30

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Solution

The fourth proportional to 5,128.14, 7,078.23 and 3,636.30 is: 5,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.14 : 7,078.23 = 3,636.30 : x
  2. Step 2: Convert to fraction form
    5,128.14/7,078.23 = 3,636.30/x
  3. Step 3: Cross multiply
    5,128.14x = 7,078.23 × 3,636.30
  4. Step 4: Simplify right side
    5,128.14x = 25,738,567.75
  5. Step 5: Solve for x
    x = 25,738,567.75/5,128.14
  6. Step 6: Final answer
    x = 5,019.08

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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.