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Finding the Fourth Proportional to 3,562.57, 5,341.87 and 1,096.71

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Solution

The fourth proportional to 3,562.57, 5,341.87 and 1,096.71 is: 1,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.57 : 5,341.87 = 1,096.71 : x
  2. Step 2: Convert to fraction form
    3,562.57/5,341.87 = 1,096.71/x
  3. Step 3: Cross multiply
    3,562.57x = 5,341.87 × 1,096.71
  4. Step 4: Simplify right side
    3,562.57x = 5,858,482.25
  5. Step 5: Solve for x
    x = 5,858,482.25/3,562.57
  6. Step 6: Final answer
    x = 1,644.45

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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.