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Finding the Fourth Proportional to 5,186.04, 7,768.70 and 3,538.50

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Solution

The fourth proportional to 5,186.04, 7,768.70 and 3,538.50 is: 5,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.04 : 7,768.70 = 3,538.50 : x
  2. Step 2: Convert to fraction form
    5,186.04/7,768.70 = 3,538.50/x
  3. Step 3: Cross multiply
    5,186.04x = 7,768.70 × 3,538.50
  4. Step 4: Simplify right side
    5,186.04x = 27,489,544.95
  5. Step 5: Solve for x
    x = 27,489,544.95/5,186.04
  6. Step 6: Final answer
    x = 5,300.68

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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.