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Finding the Fourth Proportional to 5,021.42, 7,536.76 and 2,558

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Solution

The fourth proportional to 5,021.42, 7,536.76 and 2,558 is: 3,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021.42 : 7,536.76 = 2,558 : x
  2. Step 2: Convert to fraction form
    5,021.42/7,536.76 = 2,558/x
  3. Step 3: Cross multiply
    5,021.42x = 7,536.76 × 2,558
  4. Step 4: Simplify right side
    5,021.42x = 19,279,032.08
  5. Step 5: Solve for x
    x = 19,279,032.08/5,021.42
  6. Step 6: Final answer
    x = 3,839.36

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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.