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Finding the Fourth Proportional to 4,850.84, 7,275.10 and 1,563.97

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Solution

The fourth proportional to 4,850.84, 7,275.10 and 1,563.97 is: 2,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850.84 : 7,275.10 = 1,563.97 : x
  2. Step 2: Convert to fraction form
    4,850.84/7,275.10 = 1,563.97/x
  3. Step 3: Cross multiply
    4,850.84x = 7,275.10 × 1,563.97
  4. Step 4: Simplify right side
    4,850.84x = 11,378,038.15
  5. Step 5: Solve for x
    x = 11,378,038.15/4,850.84
  6. Step 6: Final answer
    x = 2,345.58

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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.