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Finding the Fourth Proportional to 4,700.77, 6,485.25 and 2,684.30

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Solution

The fourth proportional to 4,700.77, 6,485.25 and 2,684.30 is: 3,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.77 : 6,485.25 = 2,684.30 : x
  2. Step 2: Convert to fraction form
    4,700.77/6,485.25 = 2,684.30/x
  3. Step 3: Cross multiply
    4,700.77x = 6,485.25 × 2,684.30
  4. Step 4: Simplify right side
    4,700.77x = 17,408,310.73
  5. Step 5: Solve for x
    x = 17,408,310.73/4,700.77
  6. Step 6: Final answer
    x = 3,703.29

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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.