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Finding the Fourth Proportional to 5,308.64, 7,957.77 and 2,969.78

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Solution

The fourth proportional to 5,308.64, 7,957.77 and 2,969.78 is: 4,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.64 : 7,957.77 = 2,969.78 : x
  2. Step 2: Convert to fraction form
    5,308.64/7,957.77 = 2,969.78/x
  3. Step 3: Cross multiply
    5,308.64x = 7,957.77 × 2,969.78
  4. Step 4: Simplify right side
    5,308.64x = 23,632,826.19
  5. Step 5: Solve for x
    x = 23,632,826.19/5,308.64
  6. Step 6: Final answer
    x = 4,451.77

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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.