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Finding the Fourth Proportional to 4,296.38, 6,445.37 and 1,218.38

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Solution

The fourth proportional to 4,296.38, 6,445.37 and 1,218.38 is: 1,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.38 : 6,445.37 = 1,218.38 : x
  2. Step 2: Convert to fraction form
    4,296.38/6,445.37 = 1,218.38/x
  3. Step 3: Cross multiply
    4,296.38x = 6,445.37 × 1,218.38
  4. Step 4: Simplify right side
    4,296.38x = 7,852,880.72
  5. Step 5: Solve for x
    x = 7,852,880.72/4,296.38
  6. Step 6: Final answer
    x = 1,827.79

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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.