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Finding the Fourth Proportional to 5,208.32, 7,808.16 and 1,920.80

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Solution

The fourth proportional to 5,208.32, 7,808.16 and 1,920.80 is: 2,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.32 : 7,808.16 = 1,920.80 : x
  2. Step 2: Convert to fraction form
    5,208.32/7,808.16 = 1,920.80/x
  3. Step 3: Cross multiply
    5,208.32x = 7,808.16 × 1,920.80
  4. Step 4: Simplify right side
    5,208.32x = 14,997,913.73
  5. Step 5: Solve for x
    x = 14,997,913.73/5,208.32
  6. Step 6: Final answer
    x = 2,879.61

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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.