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Finding the Fourth Proportional to 5,707.46, 8,562.50 and 2,420.67

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Solution

The fourth proportional to 5,707.46, 8,562.50 and 2,420.67 is: 3,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.46 : 8,562.50 = 2,420.67 : x
  2. Step 2: Convert to fraction form
    5,707.46/8,562.50 = 2,420.67/x
  3. Step 3: Cross multiply
    5,707.46x = 8,562.50 × 2,420.67
  4. Step 4: Simplify right side
    5,707.46x = 20,726,974.77
  5. Step 5: Solve for x
    x = 20,726,974.77/5,707.46
  6. Step 6: Final answer
    x = 3,631.56

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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.