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Finding the Fourth Proportional to 4,274.24, 5,899.96 and 2,506.40

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Solution

The fourth proportional to 4,274.24, 5,899.96 and 2,506.40 is: 3,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.24 : 5,899.96 = 2,506.40 : x
  2. Step 2: Convert to fraction form
    4,274.24/5,899.96 = 2,506.40/x
  3. Step 3: Cross multiply
    4,274.24x = 5,899.96 × 2,506.40
  4. Step 4: Simplify right side
    4,274.24x = 14,787,659.74
  5. Step 5: Solve for x
    x = 14,787,659.74/4,274.24
  6. Step 6: Final answer
    x = 3,459.72

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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.