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Finding the Fourth Proportional to 5,174.31, 7,762.46 and 2,053.70

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Solution

The fourth proportional to 5,174.31, 7,762.46 and 2,053.70 is: 3,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.31 : 7,762.46 = 2,053.70 : x
  2. Step 2: Convert to fraction form
    5,174.31/7,762.46 = 2,053.70/x
  3. Step 3: Cross multiply
    5,174.31x = 7,762.46 × 2,053.70
  4. Step 4: Simplify right side
    5,174.31x = 15,941,715.02
  5. Step 5: Solve for x
    x = 15,941,715.02/5,174.31
  6. Step 6: Final answer
    x = 3,080.94

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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.