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Finding the Fourth Proportional to 5,946.12, 8,187.33 and 5,281.82

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Solution

The fourth proportional to 5,946.12, 8,187.33 and 5,281.82 is: 7,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.12 : 8,187.33 = 5,281.82 : x
  2. Step 2: Convert to fraction form
    5,946.12/8,187.33 = 5,281.82/x
  3. Step 3: Cross multiply
    5,946.12x = 8,187.33 × 5,281.82
  4. Step 4: Simplify right side
    5,946.12x = 43,243,976.93
  5. Step 5: Solve for x
    x = 43,243,976.93/5,946.12
  6. Step 6: Final answer
    x = 7,272.64

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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.