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Finding the Fourth Proportional to 6,411.36, 8,845.92 and 4,054.48

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Solution

The fourth proportional to 6,411.36, 8,845.92 and 4,054.48 is: 5,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.36 : 8,845.92 = 4,054.48 : x
  2. Step 2: Convert to fraction form
    6,411.36/8,845.92 = 4,054.48/x
  3. Step 3: Cross multiply
    6,411.36x = 8,845.92 × 4,054.48
  4. Step 4: Simplify right side
    6,411.36x = 35,865,605.72
  5. Step 5: Solve for x
    x = 35,865,605.72/6,411.36
  6. Step 6: Final answer
    x = 5,594.07

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Why These Related Problems?

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