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Finding the Fourth Proportional to 5,658.62, 8,477.10 and 3,185.96

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Solution

The fourth proportional to 5,658.62, 8,477.10 and 3,185.96 is: 4,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.62 : 8,477.10 = 3,185.96 : x
  2. Step 2: Convert to fraction form
    5,658.62/8,477.10 = 3,185.96/x
  3. Step 3: Cross multiply
    5,658.62x = 8,477.10 × 3,185.96
  4. Step 4: Simplify right side
    5,658.62x = 27,007,701.52
  5. Step 5: Solve for x
    x = 27,007,701.52/5,658.62
  6. Step 6: Final answer
    x = 4,772.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.