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Finding the Fourth Proportional to 5,827.60, 8,747.80 and 5,451.60

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Solution

The fourth proportional to 5,827.60, 8,747.80 and 5,451.60 is: 8,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.60 : 8,747.80 = 5,451.60 : x
  2. Step 2: Convert to fraction form
    5,827.60/8,747.80 = 5,451.60/x
  3. Step 3: Cross multiply
    5,827.60x = 8,747.80 × 5,451.60
  4. Step 4: Simplify right side
    5,827.60x = 47,689,506.48
  5. Step 5: Solve for x
    x = 47,689,506.48/5,827.60
  6. Step 6: Final answer
    x = 8,183.39

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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.