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Finding the Fourth Proportional to 5,838.55, 8,056.89 and 3,185.91

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Solution

The fourth proportional to 5,838.55, 8,056.89 and 3,185.91 is: 4,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.55 : 8,056.89 = 3,185.91 : x
  2. Step 2: Convert to fraction form
    5,838.55/8,056.89 = 3,185.91/x
  3. Step 3: Cross multiply
    5,838.55x = 8,056.89 × 3,185.91
  4. Step 4: Simplify right side
    5,838.55x = 25,668,526.42
  5. Step 5: Solve for x
    x = 25,668,526.42/5,838.55
  6. Step 6: Final answer
    x = 4,396.39

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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.