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Finding the Fourth Proportional to 4,375.86, 6,561.60 and 1,453.14

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Solution

The fourth proportional to 4,375.86, 6,561.60 and 1,453.14 is: 2,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.86 : 6,561.60 = 1,453.14 : x
  2. Step 2: Convert to fraction form
    4,375.86/6,561.60 = 1,453.14/x
  3. Step 3: Cross multiply
    4,375.86x = 6,561.60 × 1,453.14
  4. Step 4: Simplify right side
    4,375.86x = 9,534,923.42
  5. Step 5: Solve for x
    x = 9,534,923.42/4,375.86
  6. Step 6: Final answer
    x = 2,178.98

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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.