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Finding the Fourth Proportional to 3,406.65, 5,109.10 and 1,215.06

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Solution

The fourth proportional to 3,406.65, 5,109.10 and 1,215.06 is: 1,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.65 : 5,109.10 = 1,215.06 : x
  2. Step 2: Convert to fraction form
    3,406.65/5,109.10 = 1,215.06/x
  3. Step 3: Cross multiply
    3,406.65x = 5,109.10 × 1,215.06
  4. Step 4: Simplify right side
    3,406.65x = 6,207,860.01
  5. Step 5: Solve for x
    x = 6,207,860.01/3,406.65
  6. Step 6: Final answer
    x = 1,822.28

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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.