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Finding the Fourth Proportional to 3,872.46, 5,804.54 and 1,790.04

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Solution

The fourth proportional to 3,872.46, 5,804.54 and 1,790.04 is: 2,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.46 : 5,804.54 = 1,790.04 : x
  2. Step 2: Convert to fraction form
    3,872.46/5,804.54 = 1,790.04/x
  3. Step 3: Cross multiply
    3,872.46x = 5,804.54 × 1,790.04
  4. Step 4: Simplify right side
    3,872.46x = 10,390,358.78
  5. Step 5: Solve for x
    x = 10,390,358.78/3,872.46
  6. Step 6: Final answer
    x = 2,683.14

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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.