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Finding the Fourth Proportional to 5,214, 7,821.15 and 1,751.25

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Solution

The fourth proportional to 5,214, 7,821.15 and 1,751.25 is: 2,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214 : 7,821.15 = 1,751.25 : x
  2. Step 2: Convert to fraction form
    5,214/7,821.15 = 1,751.25/x
  3. Step 3: Cross multiply
    5,214x = 7,821.15 × 1,751.25
  4. Step 4: Simplify right side
    5,214x = 13,696,788.94
  5. Step 5: Solve for x
    x = 13,696,788.94/5,214
  6. Step 6: Final answer
    x = 2,626.93

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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.