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Finding the Fourth Proportional to 4,375.74, 6,565.29 and 1,603.98

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Solution

The fourth proportional to 4,375.74, 6,565.29 and 1,603.98 is: 2,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.74 : 6,565.29 = 1,603.98 : x
  2. Step 2: Convert to fraction form
    4,375.74/6,565.29 = 1,603.98/x
  3. Step 3: Cross multiply
    4,375.74x = 6,565.29 × 1,603.98
  4. Step 4: Simplify right side
    4,375.74x = 10,530,593.85
  5. Step 5: Solve for x
    x = 10,530,593.85/4,375.74
  6. Step 6: Final answer
    x = 2,406.59

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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.