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Finding the Fourth Proportional to 3,802.64, 5,704.12 and 1,205.52

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Solution

The fourth proportional to 3,802.64, 5,704.12 and 1,205.52 is: 1,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.64 : 5,704.12 = 1,205.52 : x
  2. Step 2: Convert to fraction form
    3,802.64/5,704.12 = 1,205.52/x
  3. Step 3: Cross multiply
    3,802.64x = 5,704.12 × 1,205.52
  4. Step 4: Simplify right side
    3,802.64x = 6,876,430.74
  5. Step 5: Solve for x
    x = 6,876,430.74/3,802.64
  6. Step 6: Final answer
    x = 1,808.33

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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.