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Finding the Fourth Proportional to 4,559.42, 6,842.46 and 4,287.26

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Solution

The fourth proportional to 4,559.42, 6,842.46 and 4,287.26 is: 6,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.42 : 6,842.46 = 4,287.26 : x
  2. Step 2: Convert to fraction form
    4,559.42/6,842.46 = 4,287.26/x
  3. Step 3: Cross multiply
    4,559.42x = 6,842.46 × 4,287.26
  4. Step 4: Simplify right side
    4,559.42x = 29,335,405.06
  5. Step 5: Solve for x
    x = 29,335,405.06/4,559.42
  6. Step 6: Final answer
    x = 6,434.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.