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Finding the Fourth Proportional to 5,953.68, 8,215.32 and 3,857.76

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Solution

The fourth proportional to 5,953.68, 8,215.32 and 3,857.76 is: 5,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.68 : 8,215.32 = 3,857.76 : x
  2. Step 2: Convert to fraction form
    5,953.68/8,215.32 = 3,857.76/x
  3. Step 3: Cross multiply
    5,953.68x = 8,215.32 × 3,857.76
  4. Step 4: Simplify right side
    5,953.68x = 31,692,732.88
  5. Step 5: Solve for x
    x = 31,692,732.88/5,953.68
  6. Step 6: Final answer
    x = 5,323.22

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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.