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Finding the Fourth Proportional to 5,506.91, 7,589.04 and 5,405.69

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Solution

The fourth proportional to 5,506.91, 7,589.04 and 5,405.69 is: 7,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.91 : 7,589.04 = 5,405.69 : x
  2. Step 2: Convert to fraction form
    5,506.91/7,589.04 = 5,405.69/x
  3. Step 3: Cross multiply
    5,506.91x = 7,589.04 × 5,405.69
  4. Step 4: Simplify right side
    5,506.91x = 41,023,932.66
  5. Step 5: Solve for x
    x = 41,023,932.66/5,506.91
  6. Step 6: Final answer
    x = 7,449.54

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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.