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Finding the Fourth Proportional to 5,640.41, 8,461.64 and 3,176.62

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Solution

The fourth proportional to 5,640.41, 8,461.64 and 3,176.62 is: 4,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.41 : 8,461.64 = 3,176.62 : x
  2. Step 2: Convert to fraction form
    5,640.41/8,461.64 = 3,176.62/x
  3. Step 3: Cross multiply
    5,640.41x = 8,461.64 × 3,176.62
  4. Step 4: Simplify right side
    5,640.41x = 26,879,392.71
  5. Step 5: Solve for x
    x = 26,879,392.71/5,640.41
  6. Step 6: Final answer
    x = 4,765.50

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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.