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Finding the Fourth Proportional to 3,625.35, 5,437.18 and 1,774.61

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Solution

The fourth proportional to 3,625.35, 5,437.18 and 1,774.61 is: 2,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.35 : 5,437.18 = 1,774.61 : x
  2. Step 2: Convert to fraction form
    3,625.35/5,437.18 = 1,774.61/x
  3. Step 3: Cross multiply
    3,625.35x = 5,437.18 × 1,774.61
  4. Step 4: Simplify right side
    3,625.35x = 9,648,874.00
  5. Step 5: Solve for x
    x = 9,648,874.00/3,625.35
  6. Step 6: Final answer
    x = 2,661.50

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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.