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Finding the Fourth Proportional to 3,641.52, 5,462.32 and 1,333.04

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Solution

The fourth proportional to 3,641.52, 5,462.32 and 1,333.04 is: 1,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.52 : 5,462.32 = 1,333.04 : x
  2. Step 2: Convert to fraction form
    3,641.52/5,462.32 = 1,333.04/x
  3. Step 3: Cross multiply
    3,641.52x = 5,462.32 × 1,333.04
  4. Step 4: Simplify right side
    3,641.52x = 7,281,491.05
  5. Step 5: Solve for x
    x = 7,281,491.05/3,641.52
  6. Step 6: Final answer
    x = 1,999.57

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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.