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Finding the Fourth Proportional to 3,590.22, 5,381.49 and 1,738.79

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Solution

The fourth proportional to 3,590.22, 5,381.49 and 1,738.79 is: 2,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.22 : 5,381.49 = 1,738.79 : x
  2. Step 2: Convert to fraction form
    3,590.22/5,381.49 = 1,738.79/x
  3. Step 3: Cross multiply
    3,590.22x = 5,381.49 × 1,738.79
  4. Step 4: Simplify right side
    3,590.22x = 9,357,281.00
  5. Step 5: Solve for x
    x = 9,357,281.00/3,590.22
  6. Step 6: Final answer
    x = 2,606.33

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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.