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Finding the Fourth Proportional to 5,218.75, 7,828.13 and 1,756

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Solution

The fourth proportional to 5,218.75, 7,828.13 and 1,756 is: 2,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.75 : 7,828.13 = 1,756 : x
  2. Step 2: Convert to fraction form
    5,218.75/7,828.13 = 1,756/x
  3. Step 3: Cross multiply
    5,218.75x = 7,828.13 × 1,756
  4. Step 4: Simplify right side
    5,218.75x = 13,746,196.28
  5. Step 5: Solve for x
    x = 13,746,196.28/5,218.75
  6. Step 6: Final answer
    x = 2,634.00

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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.