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Finding the Fourth Proportional to 3,521.35, 5,279.77 and 1,765.88

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Solution

The fourth proportional to 3,521.35, 5,279.77 and 1,765.88 is: 2,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.35 : 5,279.77 = 1,765.88 : x
  2. Step 2: Convert to fraction form
    3,521.35/5,279.77 = 1,765.88/x
  3. Step 3: Cross multiply
    3,521.35x = 5,279.77 × 1,765.88
  4. Step 4: Simplify right side
    3,521.35x = 9,323,440.25
  5. Step 5: Solve for x
    x = 9,323,440.25/3,521.35
  6. Step 6: Final answer
    x = 2,647.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.