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Finding the Fourth Proportional to 5,072.65, 7,609.14 and 1,374.87

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Solution

The fourth proportional to 5,072.65, 7,609.14 and 1,374.87 is: 2,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.65 : 7,609.14 = 1,374.87 : x
  2. Step 2: Convert to fraction form
    5,072.65/7,609.14 = 1,374.87/x
  3. Step 3: Cross multiply
    5,072.65x = 7,609.14 × 1,374.87
  4. Step 4: Simplify right side
    5,072.65x = 10,461,606.85
  5. Step 5: Solve for x
    x = 10,461,606.85/5,072.65
  6. Step 6: Final answer
    x = 2,062.36

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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.