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Finding the Fourth Proportional to 6,076.77, 8,383.80 and 4,660.89

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Solution

The fourth proportional to 6,076.77, 8,383.80 and 4,660.89 is: 6,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.77 : 8,383.80 = 4,660.89 : x
  2. Step 2: Convert to fraction form
    6,076.77/8,383.80 = 4,660.89/x
  3. Step 3: Cross multiply
    6,076.77x = 8,383.80 × 4,660.89
  4. Step 4: Simplify right side
    6,076.77x = 39,075,969.58
  5. Step 5: Solve for x
    x = 39,075,969.58/6,076.77
  6. Step 6: Final answer
    x = 6,430.38

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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.