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Finding the Fourth Proportional to 6,076.77, 8,385.93 and 3,424.20

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Solution

The fourth proportional to 6,076.77, 8,385.93 and 3,424.20 is: 4,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.77 : 8,385.93 = 3,424.20 : x
  2. Step 2: Convert to fraction form
    6,076.77/8,385.93 = 3,424.20/x
  3. Step 3: Cross multiply
    6,076.77x = 8,385.93 × 3,424.20
  4. Step 4: Simplify right side
    6,076.77x = 28,715,101.51
  5. Step 5: Solve for x
    x = 28,715,101.51/6,076.77
  6. Step 6: Final answer
    x = 4,725.39

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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.