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Finding the Fourth Proportional to 5,953.92, 8,216.28 and 3,436.08

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Solution

The fourth proportional to 5,953.92, 8,216.28 and 3,436.08 is: 4,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.92 : 8,216.28 = 3,436.08 : x
  2. Step 2: Convert to fraction form
    5,953.92/8,216.28 = 3,436.08/x
  3. Step 3: Cross multiply
    5,953.92x = 8,216.28 × 3,436.08
  4. Step 4: Simplify right side
    5,953.92x = 28,231,795.38
  5. Step 5: Solve for x
    x = 28,231,795.38/5,953.92
  6. Step 6: Final answer
    x = 4,741.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.