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Finding the Fourth Proportional to 5,473.28, 8,211 and 1,774.82

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Solution

The fourth proportional to 5,473.28, 8,211 and 1,774.82 is: 2,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.28 : 8,211 = 1,774.82 : x
  2. Step 2: Convert to fraction form
    5,473.28/8,211 = 1,774.82/x
  3. Step 3: Cross multiply
    5,473.28x = 8,211 × 1,774.82
  4. Step 4: Simplify right side
    5,473.28x = 14,573,047.02
  5. Step 5: Solve for x
    x = 14,573,047.02/5,473.28
  6. Step 6: Final answer
    x = 2,662.58

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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.