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Finding the Fourth Proportional to 5,153.64, 7,730.14 and 2,961

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Solution

The fourth proportional to 5,153.64, 7,730.14 and 2,961 is: 4,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.64 : 7,730.14 = 2,961 : x
  2. Step 2: Convert to fraction form
    5,153.64/7,730.14 = 2,961/x
  3. Step 3: Cross multiply
    5,153.64x = 7,730.14 × 2,961
  4. Step 4: Simplify right side
    5,153.64x = 22,888,944.54
  5. Step 5: Solve for x
    x = 22,888,944.54/5,153.64
  6. Step 6: Final answer
    x = 4,441.32

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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.