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Finding the Fourth Proportional to 3,815.46, 5,269.46 and 3,403.17

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Solution

The fourth proportional to 3,815.46, 5,269.46 and 3,403.17 is: 4,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.46 : 5,269.46 = 3,403.17 : x
  2. Step 2: Convert to fraction form
    3,815.46/5,269.46 = 3,403.17/x
  3. Step 3: Cross multiply
    3,815.46x = 5,269.46 × 3,403.17
  4. Step 4: Simplify right side
    3,815.46x = 17,932,851.17
  5. Step 5: Solve for x
    x = 17,932,851.17/3,815.46
  6. Step 6: Final answer
    x = 4,700.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.