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Finding the Fourth Proportional to 3,316.38, 4,975.71 and 1,671.57

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Solution

The fourth proportional to 3,316.38, 4,975.71 and 1,671.57 is: 2,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.38 : 4,975.71 = 1,671.57 : x
  2. Step 2: Convert to fraction form
    3,316.38/4,975.71 = 1,671.57/x
  3. Step 3: Cross multiply
    3,316.38x = 4,975.71 × 1,671.57
  4. Step 4: Simplify right side
    3,316.38x = 8,317,247.56
  5. Step 5: Solve for x
    x = 8,317,247.56/3,316.38
  6. Step 6: Final answer
    x = 2,507.93

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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.