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Finding the Fourth Proportional to 6,031.40, 8,323.16 and 3,378.78

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Solution

The fourth proportional to 6,031.40, 8,323.16 and 3,378.78 is: 4,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.40 : 8,323.16 = 3,378.78 : x
  2. Step 2: Convert to fraction form
    6,031.40/8,323.16 = 3,378.78/x
  3. Step 3: Cross multiply
    6,031.40x = 8,323.16 × 3,378.78
  4. Step 4: Simplify right side
    6,031.40x = 28,122,109.65
  5. Step 5: Solve for x
    x = 28,122,109.65/6,031.40
  6. Step 6: Final answer
    x = 4,662.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.