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Finding the Fourth Proportional to 5,178.90, 7,762.88 and 3,717.26

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Solution

The fourth proportional to 5,178.90, 7,762.88 and 3,717.26 is: 5,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.90 : 7,762.88 = 3,717.26 : x
  2. Step 2: Convert to fraction form
    5,178.90/7,762.88 = 3,717.26/x
  3. Step 3: Cross multiply
    5,178.90x = 7,762.88 × 3,717.26
  4. Step 4: Simplify right side
    5,178.90x = 28,856,643.31
  5. Step 5: Solve for x
    x = 28,856,643.31/5,178.90
  6. Step 6: Final answer
    x = 5,571.96

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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.