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Finding the Fourth Proportional to 3,802.92, 5,704.54 and 1,206.04

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Solution

The fourth proportional to 3,802.92, 5,704.54 and 1,206.04 is: 1,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.92 : 5,704.54 = 1,206.04 : x
  2. Step 2: Convert to fraction form
    3,802.92/5,704.54 = 1,206.04/x
  3. Step 3: Cross multiply
    3,802.92x = 5,704.54 × 1,206.04
  4. Step 4: Simplify right side
    3,802.92x = 6,879,903.42
  5. Step 5: Solve for x
    x = 6,879,903.42/3,802.92
  6. Step 6: Final answer
    x = 1,809.11

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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.