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Finding the Fourth Proportional to 6,241.36, 8,614.42 and 4,256.64

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Solution

The fourth proportional to 6,241.36, 8,614.42 and 4,256.64 is: 5,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.36 : 8,614.42 = 4,256.64 : x
  2. Step 2: Convert to fraction form
    6,241.36/8,614.42 = 4,256.64/x
  3. Step 3: Cross multiply
    6,241.36x = 8,614.42 × 4,256.64
  4. Step 4: Simplify right side
    6,241.36x = 36,668,484.75
  5. Step 5: Solve for x
    x = 36,668,484.75/6,241.36
  6. Step 6: Final answer
    x = 5,875.08

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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.