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Finding the Fourth Proportional to 3,476.10, 5,210.22 and 1,829.10

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Solution

The fourth proportional to 3,476.10, 5,210.22 and 1,829.10 is: 2,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.10 : 5,210.22 = 1,829.10 : x
  2. Step 2: Convert to fraction form
    3,476.10/5,210.22 = 1,829.10/x
  3. Step 3: Cross multiply
    3,476.10x = 5,210.22 × 1,829.10
  4. Step 4: Simplify right side
    3,476.10x = 9,530,013.40
  5. Step 5: Solve for x
    x = 9,530,013.40/3,476.10
  6. Step 6: Final answer
    x = 2,741.58

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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.