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Finding the Fourth Proportional to 3,313.64, 4,942.53 and 3,084.01

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Solution

The fourth proportional to 3,313.64, 4,942.53 and 3,084.01 is: 4,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.64 : 4,942.53 = 3,084.01 : x
  2. Step 2: Convert to fraction form
    3,313.64/4,942.53 = 3,084.01/x
  3. Step 3: Cross multiply
    3,313.64x = 4,942.53 × 3,084.01
  4. Step 4: Simplify right side
    3,313.64x = 15,242,799.59
  5. Step 5: Solve for x
    x = 15,242,799.59/3,313.64
  6. Step 6: Final answer
    x = 4,600.01

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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.