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Finding the Fourth Proportional to 5,270.88, 7,905.69 and 1,573.14

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Solution

The fourth proportional to 5,270.88, 7,905.69 and 1,573.14 is: 2,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.88 : 7,905.69 = 1,573.14 : x
  2. Step 2: Convert to fraction form
    5,270.88/7,905.69 = 1,573.14/x
  3. Step 3: Cross multiply
    5,270.88x = 7,905.69 × 1,573.14
  4. Step 4: Simplify right side
    5,270.88x = 12,436,757.17
  5. Step 5: Solve for x
    x = 12,436,757.17/5,270.88
  6. Step 6: Final answer
    x = 2,359.52

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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.