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Finding the Fourth Proportional to 5,147.40, 7,704.90 and 4,045.80

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Solution

The fourth proportional to 5,147.40, 7,704.90 and 4,045.80 is: 6,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.40 : 7,704.90 = 4,045.80 : x
  2. Step 2: Convert to fraction form
    5,147.40/7,704.90 = 4,045.80/x
  3. Step 3: Cross multiply
    5,147.40x = 7,704.90 × 4,045.80
  4. Step 4: Simplify right side
    5,147.40x = 31,172,484.42
  5. Step 5: Solve for x
    x = 31,172,484.42/5,147.40
  6. Step 6: Final answer
    x = 6,055.97

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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.