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Finding the Fourth Proportional to 3,103.68, 4,684.71 and 3,103.68

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Solution

The fourth proportional to 3,103.68, 4,684.71 and 3,103.68 is: 4,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.68 : 4,684.71 = 3,103.68 : x
  2. Step 2: Convert to fraction form
    3,103.68/4,684.71 = 3,103.68/x
  3. Step 3: Cross multiply
    3,103.68x = 4,684.71 × 3,103.68
  4. Step 4: Simplify right side
    3,103.68x = 14,539,840.73
  5. Step 5: Solve for x
    x = 14,539,840.73/3,103.68
  6. Step 6: Final answer
    x = 4,684.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.