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Finding the Fourth Proportional to 3,475.86, 5,214.60 and 1,135.98

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Solution

The fourth proportional to 3,475.86, 5,214.60 and 1,135.98 is: 1,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.86 : 5,214.60 = 1,135.98 : x
  2. Step 2: Convert to fraction form
    3,475.86/5,214.60 = 1,135.98/x
  3. Step 3: Cross multiply
    3,475.86x = 5,214.60 × 1,135.98
  4. Step 4: Simplify right side
    3,475.86x = 5,923,681.31
  5. Step 5: Solve for x
    x = 5,923,681.31/3,475.86
  6. Step 6: Final answer
    x = 1,704.23

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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.