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Finding the Fourth Proportional to 5,669.84, 7,821.69 and 3,572.75

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Solution

The fourth proportional to 5,669.84, 7,821.69 and 3,572.75 is: 4,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.84 : 7,821.69 = 3,572.75 : x
  2. Step 2: Convert to fraction form
    5,669.84/7,821.69 = 3,572.75/x
  3. Step 3: Cross multiply
    5,669.84x = 7,821.69 × 3,572.75
  4. Step 4: Simplify right side
    5,669.84x = 27,944,942.95
  5. Step 5: Solve for x
    x = 27,944,942.95/5,669.84
  6. Step 6: Final answer
    x = 4,928.70

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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.