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Finding the Fourth Proportional to 4,572.44, 6,855 and 4,314.86

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Solution

The fourth proportional to 4,572.44, 6,855 and 4,314.86 is: 6,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.44 : 6,855 = 4,314.86 : x
  2. Step 2: Convert to fraction form
    4,572.44/6,855 = 4,314.86/x
  3. Step 3: Cross multiply
    4,572.44x = 6,855 × 4,314.86
  4. Step 4: Simplify right side
    4,572.44x = 29,578,365.30
  5. Step 5: Solve for x
    x = 29,578,365.30/4,572.44
  6. Step 6: Final answer
    x = 6,468.84

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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.