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Finding the Fourth Proportional to 5,089.74, 7,636.23 and 3,009.30

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Solution

The fourth proportional to 5,089.74, 7,636.23 and 3,009.30 is: 4,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.74 : 7,636.23 = 3,009.30 : x
  2. Step 2: Convert to fraction form
    5,089.74/7,636.23 = 3,009.30/x
  3. Step 3: Cross multiply
    5,089.74x = 7,636.23 × 3,009.30
  4. Step 4: Simplify right side
    5,089.74x = 22,979,706.94
  5. Step 5: Solve for x
    x = 22,979,706.94/5,089.74
  6. Step 6: Final answer
    x = 4,514.91

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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.