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Finding the Fourth Proportional to 5,465.47, 8,194.67 and 2,999.63

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Solution

The fourth proportional to 5,465.47, 8,194.67 and 2,999.63 is: 4,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.47 : 8,194.67 = 2,999.63 : x
  2. Step 2: Convert to fraction form
    5,465.47/8,194.67 = 2,999.63/x
  3. Step 3: Cross multiply
    5,465.47x = 8,194.67 × 2,999.63
  4. Step 4: Simplify right side
    5,465.47x = 24,580,922.00
  5. Step 5: Solve for x
    x = 24,580,922.00/5,465.47
  6. Step 6: Final answer
    x = 4,497.50

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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.