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Finding the Fourth Proportional to 4,274.88, 5,898 and 2,506.50

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Solution

The fourth proportional to 4,274.88, 5,898 and 2,506.50 is: 3,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.88 : 5,898 = 2,506.50 : x
  2. Step 2: Convert to fraction form
    4,274.88/5,898 = 2,506.50/x
  3. Step 3: Cross multiply
    4,274.88x = 5,898 × 2,506.50
  4. Step 4: Simplify right side
    4,274.88x = 14,783,337
  5. Step 5: Solve for x
    x = 14,783,337/4,274.88
  6. Step 6: Final answer
    x = 3,458.19

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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.