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Finding the Fourth Proportional to 4,796, 7,194.24 and 4,543.52

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Solution

The fourth proportional to 4,796, 7,194.24 and 4,543.52 is: 6,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796 : 7,194.24 = 4,543.52 : x
  2. Step 2: Convert to fraction form
    4,796/7,194.24 = 4,543.52/x
  3. Step 3: Cross multiply
    4,796x = 7,194.24 × 4,543.52
  4. Step 4: Simplify right side
    4,796x = 32,687,173.32
  5. Step 5: Solve for x
    x = 32,687,173.32/4,796
  6. Step 6: Final answer
    x = 6,815.51

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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.