Home / 4,142.64-6,214.84-2,296.44

Finding the Fourth Proportional to 4,142.64, 6,214.84 and 2,296.44

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Solution

The fourth proportional to 4,142.64, 6,214.84 and 2,296.44 is: 3,445.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.64 : 6,214.84 = 2,296.44 : x
  2. Step 2: Convert to fraction form
    4,142.64/6,214.84 = 2,296.44/x
  3. Step 3: Cross multiply
    4,142.64x = 6,214.84 × 2,296.44
  4. Step 4: Simplify right side
    4,142.64x = 14,272,007.17
  5. Step 5: Solve for x
    x = 14,272,007.17/4,142.64
  6. Step 6: Final answer
    x = 3,445.15

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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.