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Finding the Fourth Proportional to 5,208.25, 7,807.74 and 1,920.55

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Solution

The fourth proportional to 5,208.25, 7,807.74 and 1,920.55 is: 2,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.25 : 7,807.74 = 1,920.55 : x
  2. Step 2: Convert to fraction form
    5,208.25/7,807.74 = 1,920.55/x
  3. Step 3: Cross multiply
    5,208.25x = 7,807.74 × 1,920.55
  4. Step 4: Simplify right side
    5,208.25x = 14,995,155.06
  5. Step 5: Solve for x
    x = 14,995,155.06/5,208.25
  6. Step 6: Final answer
    x = 2,879.12

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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.