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Finding the Fourth Proportional to 3,592.94, 5,389.25 and 1,484.33

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Solution

The fourth proportional to 3,592.94, 5,389.25 and 1,484.33 is: 2,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.94 : 5,389.25 = 1,484.33 : x
  2. Step 2: Convert to fraction form
    3,592.94/5,389.25 = 1,484.33/x
  3. Step 3: Cross multiply
    3,592.94x = 5,389.25 × 1,484.33
  4. Step 4: Simplify right side
    3,592.94x = 7,999,391.08
  5. Step 5: Solve for x
    x = 7,999,391.08/3,592.94
  6. Step 6: Final answer
    x = 2,226.42

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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.