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Finding the Fourth Proportional to 5,418.63, 8,129.50 and 2,646.90

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Solution

The fourth proportional to 5,418.63, 8,129.50 and 2,646.90 is: 3,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.63 : 8,129.50 = 2,646.90 : x
  2. Step 2: Convert to fraction form
    5,418.63/8,129.50 = 2,646.90/x
  3. Step 3: Cross multiply
    5,418.63x = 8,129.50 × 2,646.90
  4. Step 4: Simplify right side
    5,418.63x = 21,517,966.93
  5. Step 5: Solve for x
    x = 21,517,966.93/5,418.63
  6. Step 6: Final answer
    x = 3,971.11

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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.