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Finding the Fourth Proportional to 5,097.40, 7,653.84 and 4,846.84

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Solution

The fourth proportional to 5,097.40, 7,653.84 and 4,846.84 is: 7,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.40 : 7,653.84 = 4,846.84 : x
  2. Step 2: Convert to fraction form
    5,097.40/7,653.84 = 4,846.84/x
  3. Step 3: Cross multiply
    5,097.40x = 7,653.84 × 4,846.84
  4. Step 4: Simplify right side
    5,097.40x = 37,096,937.87
  5. Step 5: Solve for x
    x = 37,096,937.87/5,097.40
  6. Step 6: Final answer
    x = 7,277.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.