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Finding the Fourth Proportional to 4,375, 6,565.38 and 1,639

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Solution

The fourth proportional to 4,375, 6,565.38 and 1,639 is: 2,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375 : 6,565.38 = 1,639 : x
  2. Step 2: Convert to fraction form
    4,375/6,565.38 = 1,639/x
  3. Step 3: Cross multiply
    4,375x = 6,565.38 × 1,639
  4. Step 4: Simplify right side
    4,375x = 10,760,657.82
  5. Step 5: Solve for x
    x = 10,760,657.82/4,375
  6. Step 6: Final answer
    x = 2,459.58

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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.