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Finding the Fourth Proportional to 3,096.52, 4,646.70 and 2,777.80

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Solution

The fourth proportional to 3,096.52, 4,646.70 and 2,777.80 is: 4,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.52 : 4,646.70 = 2,777.80 : x
  2. Step 2: Convert to fraction form
    3,096.52/4,646.70 = 2,777.80/x
  3. Step 3: Cross multiply
    3,096.52x = 4,646.70 × 2,777.80
  4. Step 4: Simplify right side
    3,096.52x = 12,907,603.26
  5. Step 5: Solve for x
    x = 12,907,603.26/3,096.52
  6. Step 6: Final answer
    x = 4,168.42

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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.