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Finding the Fourth Proportional to 4,622.88, 6,379.60 and 2,527

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Solution

The fourth proportional to 4,622.88, 6,379.60 and 2,527 is: 3,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.88 : 6,379.60 = 2,527 : x
  2. Step 2: Convert to fraction form
    4,622.88/6,379.60 = 2,527/x
  3. Step 3: Cross multiply
    4,622.88x = 6,379.60 × 2,527
  4. Step 4: Simplify right side
    4,622.88x = 16,121,249.20
  5. Step 5: Solve for x
    x = 16,121,249.20/4,622.88
  6. Step 6: Final answer
    x = 3,487.27

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