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Finding the Fourth Proportional to 5,863.04, 8,795.46 and 1,966.54

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Solution

The fourth proportional to 5,863.04, 8,795.46 and 1,966.54 is: 2,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.04 : 8,795.46 = 1,966.54 : x
  2. Step 2: Convert to fraction form
    5,863.04/8,795.46 = 1,966.54/x
  3. Step 3: Cross multiply
    5,863.04x = 8,795.46 × 1,966.54
  4. Step 4: Simplify right side
    5,863.04x = 17,296,609.29
  5. Step 5: Solve for x
    x = 17,296,609.29/5,863.04
  6. Step 6: Final answer
    x = 2,950.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.