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Finding the Fourth Proportional to 4,774.56, 6,589.06 and 2,784.80

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Solution

The fourth proportional to 4,774.56, 6,589.06 and 2,784.80 is: 3,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.56 : 6,589.06 = 2,784.80 : x
  2. Step 2: Convert to fraction form
    4,774.56/6,589.06 = 2,784.80/x
  3. Step 3: Cross multiply
    4,774.56x = 6,589.06 × 2,784.80
  4. Step 4: Simplify right side
    4,774.56x = 18,349,214.29
  5. Step 5: Solve for x
    x = 18,349,214.29/4,774.56
  6. Step 6: Final answer
    x = 3,843.12

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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.