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Finding the Fourth Proportional to 5,572.74, 7,690.50 and 3,054.90

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Solution

The fourth proportional to 5,572.74, 7,690.50 and 3,054.90 is: 4,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.74 : 7,690.50 = 3,054.90 : x
  2. Step 2: Convert to fraction form
    5,572.74/7,690.50 = 3,054.90/x
  3. Step 3: Cross multiply
    5,572.74x = 7,690.50 × 3,054.90
  4. Step 4: Simplify right side
    5,572.74x = 23,493,708.45
  5. Step 5: Solve for x
    x = 23,493,708.45/5,572.74
  6. Step 6: Final answer
    x = 4,215.83

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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.