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Finding the Fourth Proportional to 5,624.71, 7,763.05 and 3,268.22

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Solution

The fourth proportional to 5,624.71, 7,763.05 and 3,268.22 is: 4,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.71 : 7,763.05 = 3,268.22 : x
  2. Step 2: Convert to fraction form
    5,624.71/7,763.05 = 3,268.22/x
  3. Step 3: Cross multiply
    5,624.71x = 7,763.05 × 3,268.22
  4. Step 4: Simplify right side
    5,624.71x = 25,371,339.95
  5. Step 5: Solve for x
    x = 25,371,339.95/5,624.71
  6. Step 6: Final answer
    x = 4,510.69

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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.