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Finding the Fourth Proportional to 4,103.60, 5,938.70 and 4,103.60

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Solution

The fourth proportional to 4,103.60, 5,938.70 and 4,103.60 is: 5,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.60 : 5,938.70 = 4,103.60 : x
  2. Step 2: Convert to fraction form
    4,103.60/5,938.70 = 4,103.60/x
  3. Step 3: Cross multiply
    4,103.60x = 5,938.70 × 4,103.60
  4. Step 4: Simplify right side
    4,103.60x = 24,370,049.32
  5. Step 5: Solve for x
    x = 24,370,049.32/4,103.60
  6. Step 6: Final answer
    x = 5,938.70

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.