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Finding the Fourth Proportional to 4,068.64, 5,615.64 and 2,301.27

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Solution

The fourth proportional to 4,068.64, 5,615.64 and 2,301.27 is: 3,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.64 : 5,615.64 = 2,301.27 : x
  2. Step 2: Convert to fraction form
    4,068.64/5,615.64 = 2,301.27/x
  3. Step 3: Cross multiply
    4,068.64x = 5,615.64 × 2,301.27
  4. Step 4: Simplify right side
    4,068.64x = 12,923,103.86
  5. Step 5: Solve for x
    x = 12,923,103.86/4,068.64
  6. Step 6: Final answer
    x = 3,176.27

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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.