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Finding the Fourth Proportional to 5,284.08, 7,925.76 and 1,997.76

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Solution

The fourth proportional to 5,284.08, 7,925.76 and 1,997.76 is: 2,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.08 : 7,925.76 = 1,997.76 : x
  2. Step 2: Convert to fraction form
    5,284.08/7,925.76 = 1,997.76/x
  3. Step 3: Cross multiply
    5,284.08x = 7,925.76 × 1,997.76
  4. Step 4: Simplify right side
    5,284.08x = 15,833,766.30
  5. Step 5: Solve for x
    x = 15,833,766.30/5,284.08
  6. Step 6: Final answer
    x = 2,996.50

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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.