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Finding the Fourth Proportional to 5,654.60, 8,474.93 and 4,099.94

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Solution

The fourth proportional to 5,654.60, 8,474.93 and 4,099.94 is: 6,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.60 : 8,474.93 = 4,099.94 : x
  2. Step 2: Convert to fraction form
    5,654.60/8,474.93 = 4,099.94/x
  3. Step 3: Cross multiply
    5,654.60x = 8,474.93 × 4,099.94
  4. Step 4: Simplify right side
    5,654.60x = 34,746,684.00
  5. Step 5: Solve for x
    x = 34,746,684.00/5,654.60
  6. Step 6: Final answer
    x = 6,144.85

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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.