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Finding the Fourth Proportional to 5,442.66, 8,164.53 and 1,744.74

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Solution

The fourth proportional to 5,442.66, 8,164.53 and 1,744.74 is: 2,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.66 : 8,164.53 = 1,744.74 : x
  2. Step 2: Convert to fraction form
    5,442.66/8,164.53 = 1,744.74/x
  3. Step 3: Cross multiply
    5,442.66x = 8,164.53 × 1,744.74
  4. Step 4: Simplify right side
    5,442.66x = 14,244,982.07
  5. Step 5: Solve for x
    x = 14,244,982.07/5,442.66
  6. Step 6: Final answer
    x = 2,617.28

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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.