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Finding the Fourth Proportional to 4,277.28, 5,899.05 and 2,784.05

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Solution

The fourth proportional to 4,277.28, 5,899.05 and 2,784.05 is: 3,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.28 : 5,899.05 = 2,784.05 : x
  2. Step 2: Convert to fraction form
    4,277.28/5,899.05 = 2,784.05/x
  3. Step 3: Cross multiply
    4,277.28x = 5,899.05 × 2,784.05
  4. Step 4: Simplify right side
    4,277.28x = 16,423,220.66
  5. Step 5: Solve for x
    x = 16,423,220.66/4,277.28
  6. Step 6: Final answer
    x = 3,839.64

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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.