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Finding the Fourth Proportional to 4,774.23, 6,589.17 and 2,784.53

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Solution

The fourth proportional to 4,774.23, 6,589.17 and 2,784.53 is: 3,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.23 : 6,589.17 = 2,784.53 : x
  2. Step 2: Convert to fraction form
    4,774.23/6,589.17 = 2,784.53/x
  3. Step 3: Cross multiply
    4,774.23x = 6,589.17 × 2,784.53
  4. Step 4: Simplify right side
    4,774.23x = 18,347,758.01
  5. Step 5: Solve for x
    x = 18,347,758.01/4,774.23
  6. Step 6: Final answer
    x = 3,843.08

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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.