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Finding the Fourth Proportional to 6,439.40, 8,880.84 and 5,111

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Solution

The fourth proportional to 6,439.40, 8,880.84 and 5,111 is: 7,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.40 : 8,880.84 = 5,111 : x
  2. Step 2: Convert to fraction form
    6,439.40/8,880.84 = 5,111/x
  3. Step 3: Cross multiply
    6,439.40x = 8,880.84 × 5,111
  4. Step 4: Simplify right side
    6,439.40x = 45,389,973.24
  5. Step 5: Solve for x
    x = 45,389,973.24/6,439.40
  6. Step 6: Final answer
    x = 7,048.79

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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.