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Finding the Fourth Proportional to 5,572.58, 7,690.41 and 3,054.96

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Solution

The fourth proportional to 5,572.58, 7,690.41 and 3,054.96 is: 4,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.58 : 7,690.41 = 3,054.96 : x
  2. Step 2: Convert to fraction form
    5,572.58/7,690.41 = 3,054.96/x
  3. Step 3: Cross multiply
    5,572.58x = 7,690.41 × 3,054.96
  4. Step 4: Simplify right side
    5,572.58x = 23,493,894.93
  5. Step 5: Solve for x
    x = 23,493,894.93/5,572.58
  6. Step 6: Final answer
    x = 4,215.99

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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.