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Finding the Fourth Proportional to 4,509.84, 6,763.94 and 2,044.07

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Solution

The fourth proportional to 4,509.84, 6,763.94 and 2,044.07 is: 3,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.84 : 6,763.94 = 2,044.07 : x
  2. Step 2: Convert to fraction form
    4,509.84/6,763.94 = 2,044.07/x
  3. Step 3: Cross multiply
    4,509.84x = 6,763.94 × 2,044.07
  4. Step 4: Simplify right side
    4,509.84x = 13,825,955.83
  5. Step 5: Solve for x
    x = 13,825,955.83/4,509.84
  6. Step 6: Final answer
    x = 3,065.73

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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.