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Finding the Fourth Proportional to 4,274.74, 5,899.26 and 2,506.42

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Solution

The fourth proportional to 4,274.74, 5,899.26 and 2,506.42 is: 3,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.74 : 5,899.26 = 2,506.42 : x
  2. Step 2: Convert to fraction form
    4,274.74/5,899.26 = 2,506.42/x
  3. Step 3: Cross multiply
    4,274.74x = 5,899.26 × 2,506.42
  4. Step 4: Simplify right side
    4,274.74x = 14,786,023.25
  5. Step 5: Solve for x
    x = 14,786,023.25/4,274.74
  6. Step 6: Final answer
    x = 3,458.93

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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.