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Finding the Fourth Proportional to 5,253.90, 7,882.00 and 1,556.42

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Solution

The fourth proportional to 5,253.90, 7,882.00 and 1,556.42 is: 2,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.90 : 7,882.00 = 1,556.42 : x
  2. Step 2: Convert to fraction form
    5,253.90/7,882.00 = 1,556.42/x
  3. Step 3: Cross multiply
    5,253.90x = 7,882.00 × 1,556.42
  4. Step 4: Simplify right side
    5,253.90x = 12,267,659.14
  5. Step 5: Solve for x
    x = 12,267,659.14/5,253.90
  6. Step 6: Final answer
    x = 2,334.96

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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.