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Finding the Fourth Proportional to 4,697.73, 6,478.40 and 2,809.01

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Solution

The fourth proportional to 4,697.73, 6,478.40 and 2,809.01 is: 3,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.73 : 6,478.40 = 2,809.01 : x
  2. Step 2: Convert to fraction form
    4,697.73/6,478.40 = 2,809.01/x
  3. Step 3: Cross multiply
    4,697.73x = 6,478.40 × 2,809.01
  4. Step 4: Simplify right side
    4,697.73x = 18,197,860.14
  5. Step 5: Solve for x
    x = 18,197,860.14/4,697.73
  6. Step 6: Final answer
    x = 3,873.76

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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.