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Finding the Fourth Proportional to 5,715.46, 8,574.15 and 1,821.06

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Solution

The fourth proportional to 5,715.46, 8,574.15 and 1,821.06 is: 2,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.46 : 8,574.15 = 1,821.06 : x
  2. Step 2: Convert to fraction form
    5,715.46/8,574.15 = 1,821.06/x
  3. Step 3: Cross multiply
    5,715.46x = 8,574.15 × 1,821.06
  4. Step 4: Simplify right side
    5,715.46x = 15,614,041.60
  5. Step 5: Solve for x
    x = 15,614,041.60/5,715.46
  6. Step 6: Final answer
    x = 2,731.90

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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.