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Finding the Fourth Proportional to 4,283.57, 6,404.24 and 3,632.70

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Solution

The fourth proportional to 4,283.57, 6,404.24 and 3,632.70 is: 5,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.57 : 6,404.24 = 3,632.70 : x
  2. Step 2: Convert to fraction form
    4,283.57/6,404.24 = 3,632.70/x
  3. Step 3: Cross multiply
    4,283.57x = 6,404.24 × 3,632.70
  4. Step 4: Simplify right side
    4,283.57x = 23,264,664.48
  5. Step 5: Solve for x
    x = 23,264,664.48/4,283.57
  6. Step 6: Final answer
    x = 5,431.15

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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.