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Finding the Fourth Proportional to 4,364.19, 6,539.20 and 4,202.39

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Solution

The fourth proportional to 4,364.19, 6,539.20 and 4,202.39 is: 6,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.19 : 6,539.20 = 4,202.39 : x
  2. Step 2: Convert to fraction form
    4,364.19/6,539.20 = 4,202.39/x
  3. Step 3: Cross multiply
    4,364.19x = 6,539.20 × 4,202.39
  4. Step 4: Simplify right side
    4,364.19x = 27,480,274.53
  5. Step 5: Solve for x
    x = 27,480,274.53/4,364.19
  6. Step 6: Final answer
    x = 6,296.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.