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Finding the Fourth Proportional to 5,572.23, 7,689.83 and 3,214.50

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Solution

The fourth proportional to 5,572.23, 7,689.83 and 3,214.50 is: 4,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.23 : 7,689.83 = 3,214.50 : x
  2. Step 2: Convert to fraction form
    5,572.23/7,689.83 = 3,214.50/x
  3. Step 3: Cross multiply
    5,572.23x = 7,689.83 × 3,214.50
  4. Step 4: Simplify right side
    5,572.23x = 24,718,942.46
  5. Step 5: Solve for x
    x = 24,718,942.46/5,572.23
  6. Step 6: Final answer
    x = 4,436.10

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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.