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Finding the Fourth Proportional to 3,450.29, 5,176.17 and 1,259.01

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Solution

The fourth proportional to 3,450.29, 5,176.17 and 1,259.01 is: 1,888.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.29 : 5,176.17 = 1,259.01 : x
  2. Step 2: Convert to fraction form
    3,450.29/5,176.17 = 1,259.01/x
  3. Step 3: Cross multiply
    3,450.29x = 5,176.17 × 1,259.01
  4. Step 4: Simplify right side
    3,450.29x = 6,516,849.79
  5. Step 5: Solve for x
    x = 6,516,849.79/3,450.29
  6. Step 6: Final answer
    x = 1,888.79

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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.