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Finding the Fourth Proportional to 4,357.89, 6,538.28 and 1,396.80

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Solution

The fourth proportional to 4,357.89, 6,538.28 and 1,396.80 is: 2,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.89 : 6,538.28 = 1,396.80 : x
  2. Step 2: Convert to fraction form
    4,357.89/6,538.28 = 1,396.80/x
  3. Step 3: Cross multiply
    4,357.89x = 6,538.28 × 1,396.80
  4. Step 4: Simplify right side
    4,357.89x = 9,132,662.52
  5. Step 5: Solve for x
    x = 9,132,662.52/4,357.89
  6. Step 6: Final answer
    x = 2,095.66

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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.