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Finding the Fourth Proportional to 6,280.74, 8,668.61 and 4,156.31

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Solution

The fourth proportional to 6,280.74, 8,668.61 and 4,156.31 is: 5,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.74 : 8,668.61 = 4,156.31 : x
  2. Step 2: Convert to fraction form
    6,280.74/8,668.61 = 4,156.31/x
  3. Step 3: Cross multiply
    6,280.74x = 8,668.61 × 4,156.31
  4. Step 4: Simplify right side
    6,280.74x = 36,029,430.43
  5. Step 5: Solve for x
    x = 36,029,430.43/6,280.74
  6. Step 6: Final answer
    x = 5,736.49

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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.