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Finding the Fourth Proportional to 4,274.54, 5,898.92 and 2,505.70

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Solution

The fourth proportional to 4,274.54, 5,898.92 and 2,505.70 is: 3,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.54 : 5,898.92 = 2,505.70 : x
  2. Step 2: Convert to fraction form
    4,274.54/5,898.92 = 2,505.70/x
  3. Step 3: Cross multiply
    4,274.54x = 5,898.92 × 2,505.70
  4. Step 4: Simplify right side
    4,274.54x = 14,780,923.84
  5. Step 5: Solve for x
    x = 14,780,923.84/4,274.54
  6. Step 6: Final answer
    x = 3,457.90

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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.