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Finding the Fourth Proportional to 4,277.80, 6,457.75 and 4,234.60

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Solution

The fourth proportional to 4,277.80, 6,457.75 and 4,234.60 is: 6,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.80 : 6,457.75 = 4,234.60 : x
  2. Step 2: Convert to fraction form
    4,277.80/6,457.75 = 4,234.60/x
  3. Step 3: Cross multiply
    4,277.80x = 6,457.75 × 4,234.60
  4. Step 4: Simplify right side
    4,277.80x = 27,345,988.15
  5. Step 5: Solve for x
    x = 27,345,988.15/4,277.80
  6. Step 6: Final answer
    x = 6,392.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.