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Finding the Fourth Proportional to 5,672.16, 7,827.75 and 3,434.45

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Solution

The fourth proportional to 5,672.16, 7,827.75 and 3,434.45 is: 4,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.16 : 7,827.75 = 3,434.45 : x
  2. Step 2: Convert to fraction form
    5,672.16/7,827.75 = 3,434.45/x
  3. Step 3: Cross multiply
    5,672.16x = 7,827.75 × 3,434.45
  4. Step 4: Simplify right side
    5,672.16x = 26,883,976.85
  5. Step 5: Solve for x
    x = 26,883,976.85/5,672.16
  6. Step 6: Final answer
    x = 4,739.64

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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.