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Finding the Fourth Proportional to 4,274.64, 5,886.72 and 3,672.30

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Solution

The fourth proportional to 4,274.64, 5,886.72 and 3,672.30 is: 5,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.64 : 5,886.72 = 3,672.30 : x
  2. Step 2: Convert to fraction form
    4,274.64/5,886.72 = 3,672.30/x
  3. Step 3: Cross multiply
    4,274.64x = 5,886.72 × 3,672.30
  4. Step 4: Simplify right side
    4,274.64x = 21,617,801.86
  5. Step 5: Solve for x
    x = 21,617,801.86/4,274.64
  6. Step 6: Final answer
    x = 5,057.22

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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.