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Finding the Fourth Proportional to 5,214.33, 7,821.48 and 1,754.01

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Solution

The fourth proportional to 5,214.33, 7,821.48 and 1,754.01 is: 2,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.33 : 7,821.48 = 1,754.01 : x
  2. Step 2: Convert to fraction form
    5,214.33/7,821.48 = 1,754.01/x
  3. Step 3: Cross multiply
    5,214.33x = 7,821.48 × 1,754.01
  4. Step 4: Simplify right side
    5,214.33x = 13,718,954.13
  5. Step 5: Solve for x
    x = 13,718,954.13/5,214.33
  6. Step 6: Final answer
    x = 2,631.01

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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.