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Finding the Fourth Proportional to 5,308.66, 7,953 and 3,110.86

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Solution

The fourth proportional to 5,308.66, 7,953 and 3,110.86 is: 4,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.66 : 7,953 = 3,110.86 : x
  2. Step 2: Convert to fraction form
    5,308.66/7,953 = 3,110.86/x
  3. Step 3: Cross multiply
    5,308.66x = 7,953 × 3,110.86
  4. Step 4: Simplify right side
    5,308.66x = 24,740,669.58
  5. Step 5: Solve for x
    x = 24,740,669.58/5,308.66
  6. Step 6: Final answer
    x = 4,660.44

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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.