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Finding the Fourth Proportional to 3,393.42, 5,085.90 and 1,544.04

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Solution

The fourth proportional to 3,393.42, 5,085.90 and 1,544.04 is: 2,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.42 : 5,085.90 = 1,544.04 : x
  2. Step 2: Convert to fraction form
    3,393.42/5,085.90 = 1,544.04/x
  3. Step 3: Cross multiply
    3,393.42x = 5,085.90 × 1,544.04
  4. Step 4: Simplify right side
    3,393.42x = 7,852,833.04
  5. Step 5: Solve for x
    x = 7,852,833.04/3,393.42
  6. Step 6: Final answer
    x = 2,314.14

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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.