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Finding the Fourth Proportional to 5,911.51, 8,868.32 and 1,963

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Solution

The fourth proportional to 5,911.51, 8,868.32 and 1,963 is: 2,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.51 : 8,868.32 = 1,963 : x
  2. Step 2: Convert to fraction form
    5,911.51/8,868.32 = 1,963/x
  3. Step 3: Cross multiply
    5,911.51x = 8,868.32 × 1,963
  4. Step 4: Simplify right side
    5,911.51x = 17,408,512.16
  5. Step 5: Solve for x
    x = 17,408,512.16/5,911.51
  6. Step 6: Final answer
    x = 2,944.85

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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.