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Finding the Fourth Proportional to 6,474.99, 8,935.96 and 3,957.58

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Solution

The fourth proportional to 6,474.99, 8,935.96 and 3,957.58 is: 5,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.99 : 8,935.96 = 3,957.58 : x
  2. Step 2: Convert to fraction form
    6,474.99/8,935.96 = 3,957.58/x
  3. Step 3: Cross multiply
    6,474.99x = 8,935.96 × 3,957.58
  4. Step 4: Simplify right side
    6,474.99x = 35,364,776.58
  5. Step 5: Solve for x
    x = 35,364,776.58/6,474.99
  6. Step 6: Final answer
    x = 5,461.75

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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.