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Finding the Fourth Proportional to 5,072.76, 7,609.14 and 1,374.99

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Solution

The fourth proportional to 5,072.76, 7,609.14 and 1,374.99 is: 2,062.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.76 : 7,609.14 = 1,374.99 : x
  2. Step 2: Convert to fraction form
    5,072.76/7,609.14 = 1,374.99/x
  3. Step 3: Cross multiply
    5,072.76x = 7,609.14 × 1,374.99
  4. Step 4: Simplify right side
    5,072.76x = 10,462,491.41
  5. Step 5: Solve for x
    x = 10,462,491.41/5,072.76
  6. Step 6: Final answer
    x = 2,062.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.