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Finding the Fourth Proportional to 3,621.69, 5,432.42 and 1,156.65

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Solution

The fourth proportional to 3,621.69, 5,432.42 and 1,156.65 is: 1,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621.69 : 5,432.42 = 1,156.65 : x
  2. Step 2: Convert to fraction form
    3,621.69/5,432.42 = 1,156.65/x
  3. Step 3: Cross multiply
    3,621.69x = 5,432.42 × 1,156.65
  4. Step 4: Simplify right side
    3,621.69x = 6,283,402.81
  5. Step 5: Solve for x
    x = 6,283,402.81/3,621.69
  6. Step 6: Final answer
    x = 1,734.94

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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.