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Finding the Fourth Proportional to 4,776.52, 6,589.20 and 3,599.20

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Solution

The fourth proportional to 4,776.52, 6,589.20 and 3,599.20 is: 4,965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.52 : 6,589.20 = 3,599.20 : x
  2. Step 2: Convert to fraction form
    4,776.52/6,589.20 = 3,599.20/x
  3. Step 3: Cross multiply
    4,776.52x = 6,589.20 × 3,599.20
  4. Step 4: Simplify right side
    4,776.52x = 23,715,848.64
  5. Step 5: Solve for x
    x = 23,715,848.64/4,776.52
  6. Step 6: Final answer
    x = 4,965.09

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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.