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Finding the Fourth Proportional to 5,174.90, 7,762.36 and 2,710.44

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Solution

The fourth proportional to 5,174.90, 7,762.36 and 2,710.44 is: 4,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.90 : 7,762.36 = 2,710.44 : x
  2. Step 2: Convert to fraction form
    5,174.90/7,762.36 = 2,710.44/x
  3. Step 3: Cross multiply
    5,174.90x = 7,762.36 × 2,710.44
  4. Step 4: Simplify right side
    5,174.90x = 21,039,411.04
  5. Step 5: Solve for x
    x = 21,039,411.04/5,174.90
  6. Step 6: Final answer
    x = 4,065.67

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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.