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Finding the Fourth Proportional to 6,434.26, 8,879.42 and 4,549.16

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Solution

The fourth proportional to 6,434.26, 8,879.42 and 4,549.16 is: 6,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.26 : 8,879.42 = 4,549.16 : x
  2. Step 2: Convert to fraction form
    6,434.26/8,879.42 = 4,549.16/x
  3. Step 3: Cross multiply
    6,434.26x = 8,879.42 × 4,549.16
  4. Step 4: Simplify right side
    6,434.26x = 40,393,935.86
  5. Step 5: Solve for x
    x = 40,393,935.86/6,434.26
  6. Step 6: Final answer
    x = 6,277.95

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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.