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Finding the Fourth Proportional to 3,549.04, 5,323.80 and 1,084.04

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Solution

The fourth proportional to 3,549.04, 5,323.80 and 1,084.04 is: 1,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.04 : 5,323.80 = 1,084.04 : x
  2. Step 2: Convert to fraction form
    3,549.04/5,323.80 = 1,084.04/x
  3. Step 3: Cross multiply
    3,549.04x = 5,323.80 × 1,084.04
  4. Step 4: Simplify right side
    3,549.04x = 5,771,212.15
  5. Step 5: Solve for x
    x = 5,771,212.15/3,549.04
  6. Step 6: Final answer
    x = 1,626.13

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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.