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Finding the Fourth Proportional to 4,274.97, 5,899.41 and 2,506.74

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Solution

The fourth proportional to 4,274.97, 5,899.41 and 2,506.74 is: 3,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.97 : 5,899.41 = 2,506.74 : x
  2. Step 2: Convert to fraction form
    4,274.97/5,899.41 = 2,506.74/x
  3. Step 3: Cross multiply
    4,274.97x = 5,899.41 × 2,506.74
  4. Step 4: Simplify right side
    4,274.97x = 14,788,287.02
  5. Step 5: Solve for x
    x = 14,788,287.02/4,274.97
  6. Step 6: Final answer
    x = 3,459.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.