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Finding the Fourth Proportional to 3,622.65, 5,432.81 and 1,156.89

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Solution

The fourth proportional to 3,622.65, 5,432.81 and 1,156.89 is: 1,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.65 : 5,432.81 = 1,156.89 : x
  2. Step 2: Convert to fraction form
    3,622.65/5,432.81 = 1,156.89/x
  3. Step 3: Cross multiply
    3,622.65x = 5,432.81 × 1,156.89
  4. Step 4: Simplify right side
    3,622.65x = 6,285,147.59
  5. Step 5: Solve for x
    x = 6,285,147.59/3,622.65
  6. Step 6: Final answer
    x = 1,734.96

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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.