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Finding the Fourth Proportional to 3,308.86, 4,962.57 and 999.82

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Solution

The fourth proportional to 3,308.86, 4,962.57 and 999.82 is: 1,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.86 : 4,962.57 = 999.82 : x
  2. Step 2: Convert to fraction form
    3,308.86/4,962.57 = 999.82/x
  3. Step 3: Cross multiply
    3,308.86x = 4,962.57 × 999.82
  4. Step 4: Simplify right side
    3,308.86x = 4,961,676.74
  5. Step 5: Solve for x
    x = 4,961,676.74/3,308.86
  6. Step 6: Final answer
    x = 1,499.51

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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.