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Finding the Fourth Proportional to 4,709.66, 7,062.43 and 1,589.08

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Solution

The fourth proportional to 4,709.66, 7,062.43 and 1,589.08 is: 2,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.66 : 7,062.43 = 1,589.08 : x
  2. Step 2: Convert to fraction form
    4,709.66/7,062.43 = 1,589.08/x
  3. Step 3: Cross multiply
    4,709.66x = 7,062.43 × 1,589.08
  4. Step 4: Simplify right side
    4,709.66x = 11,222,768.55
  5. Step 5: Solve for x
    x = 11,222,768.55/4,709.66
  6. Step 6: Final answer
    x = 2,382.93

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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.