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Finding the Fourth Proportional to 3,624.47, 5,431.23 and 2,695.67

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Solution

The fourth proportional to 3,624.47, 5,431.23 and 2,695.67 is: 4,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.47 : 5,431.23 = 2,695.67 : x
  2. Step 2: Convert to fraction form
    3,624.47/5,431.23 = 2,695.67/x
  3. Step 3: Cross multiply
    3,624.47x = 5,431.23 × 2,695.67
  4. Step 4: Simplify right side
    3,624.47x = 14,640,803.77
  5. Step 5: Solve for x
    x = 14,640,803.77/3,624.47
  6. Step 6: Final answer
    x = 4,039.43

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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.