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Finding the Fourth Proportional to 4,274.64, 5,898.56 and 2,385.86

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Solution

The fourth proportional to 4,274.64, 5,898.56 and 2,385.86 is: 3,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.64 : 5,898.56 = 2,385.86 : x
  2. Step 2: Convert to fraction form
    4,274.64/5,898.56 = 2,385.86/x
  3. Step 3: Cross multiply
    4,274.64x = 5,898.56 × 2,385.86
  4. Step 4: Simplify right side
    4,274.64x = 14,073,096.94
  5. Step 5: Solve for x
    x = 14,073,096.94/4,274.64
  6. Step 6: Final answer
    x = 3,292.23

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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.