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Finding the Fourth Proportional to 5,964.60, 8,231.54 and 3,312

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Solution

The fourth proportional to 5,964.60, 8,231.54 and 3,312 is: 4,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.60 : 8,231.54 = 3,312 : x
  2. Step 2: Convert to fraction form
    5,964.60/8,231.54 = 3,312/x
  3. Step 3: Cross multiply
    5,964.60x = 8,231.54 × 3,312
  4. Step 4: Simplify right side
    5,964.60x = 27,262,843.92
  5. Step 5: Solve for x
    x = 27,262,843.92/5,964.60
  6. Step 6: Final answer
    x = 4,570.77

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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.