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Finding the Fourth Proportional to 5,466.63, 8,202 and 3,276.93

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Solution

The fourth proportional to 5,466.63, 8,202 and 3,276.93 is: 4,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.63 : 8,202 = 3,276.93 : x
  2. Step 2: Convert to fraction form
    5,466.63/8,202 = 3,276.93/x
  3. Step 3: Cross multiply
    5,466.63x = 8,202 × 3,276.93
  4. Step 4: Simplify right side
    5,466.63x = 26,877,379.86
  5. Step 5: Solve for x
    x = 26,877,379.86/5,466.63
  6. Step 6: Final answer
    x = 4,916.63

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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.