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Finding the Fourth Proportional to 4,340.58, 5,994.28 and 4,195.86

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Solution

The fourth proportional to 4,340.58, 5,994.28 and 4,195.86 is: 5,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.58 : 5,994.28 = 4,195.86 : x
  2. Step 2: Convert to fraction form
    4,340.58/5,994.28 = 4,195.86/x
  3. Step 3: Cross multiply
    4,340.58x = 5,994.28 × 4,195.86
  4. Step 4: Simplify right side
    4,340.58x = 25,151,159.68
  5. Step 5: Solve for x
    x = 25,151,159.68/4,340.58
  6. Step 6: Final answer
    x = 5,794.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.