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Finding the Fourth Proportional to 5,573, 7,690.74 and 3,089

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Solution

The fourth proportional to 5,573, 7,690.74 and 3,089 is: 4,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573 : 7,690.74 = 3,089 : x
  2. Step 2: Convert to fraction form
    5,573/7,690.74 = 3,089/x
  3. Step 3: Cross multiply
    5,573x = 7,690.74 × 3,089
  4. Step 4: Simplify right side
    5,573x = 23,756,695.86
  5. Step 5: Solve for x
    x = 23,756,695.86/5,573
  6. Step 6: Final answer
    x = 4,262.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.