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Finding the Fourth Proportional to 5,174.34, 7,756.50 and 2,053.32

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Solution

The fourth proportional to 5,174.34, 7,756.50 and 2,053.32 is: 3,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.34 : 7,756.50 = 2,053.32 : x
  2. Step 2: Convert to fraction form
    5,174.34/7,756.50 = 2,053.32/x
  3. Step 3: Cross multiply
    5,174.34x = 7,756.50 × 2,053.32
  4. Step 4: Simplify right side
    5,174.34x = 15,926,576.58
  5. Step 5: Solve for x
    x = 15,926,576.58/5,174.34
  6. Step 6: Final answer
    x = 3,077.99

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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.