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Finding the Fourth Proportional to 4,630.77, 6,389.94 and 2,742.42

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Solution

The fourth proportional to 4,630.77, 6,389.94 and 2,742.42 is: 3,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.77 : 6,389.94 = 2,742.42 : x
  2. Step 2: Convert to fraction form
    4,630.77/6,389.94 = 2,742.42/x
  3. Step 3: Cross multiply
    4,630.77x = 6,389.94 × 2,742.42
  4. Step 4: Simplify right side
    4,630.77x = 17,523,899.25
  5. Step 5: Solve for x
    x = 17,523,899.25/4,630.77
  6. Step 6: Final answer
    x = 3,784.23

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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.