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Finding the Fourth Proportional to 4,648.06, 6,974.49 and 3,089.14

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Solution

The fourth proportional to 4,648.06, 6,974.49 and 3,089.14 is: 4,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.06 : 6,974.49 = 3,089.14 : x
  2. Step 2: Convert to fraction form
    4,648.06/6,974.49 = 3,089.14/x
  3. Step 3: Cross multiply
    4,648.06x = 6,974.49 × 3,089.14
  4. Step 4: Simplify right side
    4,648.06x = 21,545,176.04
  5. Step 5: Solve for x
    x = 21,545,176.04/4,648.06
  6. Step 6: Final answer
    x = 4,635.31

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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.