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Finding the Fourth Proportional to 5,767.78, 8,647.27 and 4,777.56

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Solution

The fourth proportional to 5,767.78, 8,647.27 and 4,777.56 is: 7,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.78 : 8,647.27 = 4,777.56 : x
  2. Step 2: Convert to fraction form
    5,767.78/8,647.27 = 4,777.56/x
  3. Step 3: Cross multiply
    5,767.78x = 8,647.27 × 4,777.56
  4. Step 4: Simplify right side
    5,767.78x = 41,312,851.26
  5. Step 5: Solve for x
    x = 41,312,851.26/5,767.78
  6. Step 6: Final answer
    x = 7,162.70

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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.