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Finding the Fourth Proportional to 5,270.84, 7,271.50 and 3,699.96

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Solution

The fourth proportional to 5,270.84, 7,271.50 and 3,699.96 is: 5,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.84 : 7,271.50 = 3,699.96 : x
  2. Step 2: Convert to fraction form
    5,270.84/7,271.50 = 3,699.96/x
  3. Step 3: Cross multiply
    5,270.84x = 7,271.50 × 3,699.96
  4. Step 4: Simplify right side
    5,270.84x = 26,904,259.14
  5. Step 5: Solve for x
    x = 26,904,259.14/5,270.84
  6. Step 6: Final answer
    x = 5,104.36

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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.