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Finding the Fourth Proportional to 5,700.84, 8,552.13 and 1,806.13

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Solution

The fourth proportional to 5,700.84, 8,552.13 and 1,806.13 is: 2,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.84 : 8,552.13 = 1,806.13 : x
  2. Step 2: Convert to fraction form
    5,700.84/8,552.13 = 1,806.13/x
  3. Step 3: Cross multiply
    5,700.84x = 8,552.13 × 1,806.13
  4. Step 4: Simplify right side
    5,700.84x = 15,446,258.56
  5. Step 5: Solve for x
    x = 15,446,258.56/5,700.84
  6. Step 6: Final answer
    x = 2,709.47

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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.