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Finding the Fourth Proportional to 5,182.83, 7,736.54 and 4,526.73

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Solution

The fourth proportional to 5,182.83, 7,736.54 and 4,526.73 is: 6,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.83 : 7,736.54 = 4,526.73 : x
  2. Step 2: Convert to fraction form
    5,182.83/7,736.54 = 4,526.73/x
  3. Step 3: Cross multiply
    5,182.83x = 7,736.54 × 4,526.73
  4. Step 4: Simplify right side
    5,182.83x = 35,021,205.08
  5. Step 5: Solve for x
    x = 35,021,205.08/5,182.83
  6. Step 6: Final answer
    x = 6,757.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.