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Finding the Fourth Proportional to 5,208.08, 7,812.64 and 1,920.75

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Solution

The fourth proportional to 5,208.08, 7,812.64 and 1,920.75 is: 2,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.08 : 7,812.64 = 1,920.75 : x
  2. Step 2: Convert to fraction form
    5,208.08/7,812.64 = 1,920.75/x
  3. Step 3: Cross multiply
    5,208.08x = 7,812.64 × 1,920.75
  4. Step 4: Simplify right side
    5,208.08x = 15,006,128.28
  5. Step 5: Solve for x
    x = 15,006,128.28/5,208.08
  6. Step 6: Final answer
    x = 2,881.32

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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.