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Finding the Fourth Proportional to 3,549.93, 5,324.93 and 1,084.80

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Solution

The fourth proportional to 3,549.93, 5,324.93 and 1,084.80 is: 1,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.93 : 5,324.93 = 1,084.80 : x
  2. Step 2: Convert to fraction form
    3,549.93/5,324.93 = 1,084.80/x
  3. Step 3: Cross multiply
    3,549.93x = 5,324.93 × 1,084.80
  4. Step 4: Simplify right side
    3,549.93x = 5,776,490.75
  5. Step 5: Solve for x
    x = 5,776,490.75/3,549.93
  6. Step 6: Final answer
    x = 1,627.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.