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Finding the Fourth Proportional to 4,703.77, 6,493.60 and 3,639.13

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Solution

The fourth proportional to 4,703.77, 6,493.60 and 3,639.13 is: 5,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.77 : 6,493.60 = 3,639.13 : x
  2. Step 2: Convert to fraction form
    4,703.77/6,493.60 = 3,639.13/x
  3. Step 3: Cross multiply
    4,703.77x = 6,493.60 × 3,639.13
  4. Step 4: Simplify right side
    4,703.77x = 23,631,042.88
  5. Step 5: Solve for x
    x = 23,631,042.88/4,703.77
  6. Step 6: Final answer
    x = 5,023.85

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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.