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Finding the Fourth Proportional to 3,196.96, 4,762.40 and 3,100.24

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Solution

The fourth proportional to 3,196.96, 4,762.40 and 3,100.24 is: 4,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.96 : 4,762.40 = 3,100.24 : x
  2. Step 2: Convert to fraction form
    3,196.96/4,762.40 = 3,100.24/x
  3. Step 3: Cross multiply
    3,196.96x = 4,762.40 × 3,100.24
  4. Step 4: Simplify right side
    3,196.96x = 14,764,582.98
  5. Step 5: Solve for x
    x = 14,764,582.98/3,196.96
  6. Step 6: Final answer
    x = 4,618.32

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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.