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Finding the Fourth Proportional to 5,419.17, 8,129.16 and 1,721.25

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Solution

The fourth proportional to 5,419.17, 8,129.16 and 1,721.25 is: 2,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.17 : 8,129.16 = 1,721.25 : x
  2. Step 2: Convert to fraction form
    5,419.17/8,129.16 = 1,721.25/x
  3. Step 3: Cross multiply
    5,419.17x = 8,129.16 × 1,721.25
  4. Step 4: Simplify right side
    5,419.17x = 13,992,316.65
  5. Step 5: Solve for x
    x = 13,992,316.65/5,419.17
  6. Step 6: Final answer
    x = 2,582.00

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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.