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Finding the Fourth Proportional to 5,216.33, 7,777.96 and 4,636.78

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Solution

The fourth proportional to 5,216.33, 7,777.96 and 4,636.78 is: 6,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.33 : 7,777.96 = 4,636.78 : x
  2. Step 2: Convert to fraction form
    5,216.33/7,777.96 = 4,636.78/x
  3. Step 3: Cross multiply
    5,216.33x = 7,777.96 × 4,636.78
  4. Step 4: Simplify right side
    5,216.33x = 36,064,650.48
  5. Step 5: Solve for x
    x = 36,064,650.48/5,216.33
  6. Step 6: Final answer
    x = 6,913.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.