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Finding the Fourth Proportional to 3,366.27, 5,047.79 and 1,417.41

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Solution

The fourth proportional to 3,366.27, 5,047.79 and 1,417.41 is: 2,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366.27 : 5,047.79 = 1,417.41 : x
  2. Step 2: Convert to fraction form
    3,366.27/5,047.79 = 1,417.41/x
  3. Step 3: Cross multiply
    3,366.27x = 5,047.79 × 1,417.41
  4. Step 4: Simplify right side
    3,366.27x = 7,154,780.94
  5. Step 5: Solve for x
    x = 7,154,780.94/3,366.27
  6. Step 6: Final answer
    x = 2,125.43

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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.