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Finding the Fourth Proportional to 3,435.09, 5,149.15 and 1,354.28

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Solution

The fourth proportional to 3,435.09, 5,149.15 and 1,354.28 is: 2,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.09 : 5,149.15 = 1,354.28 : x
  2. Step 2: Convert to fraction form
    3,435.09/5,149.15 = 1,354.28/x
  3. Step 3: Cross multiply
    3,435.09x = 5,149.15 × 1,354.28
  4. Step 4: Simplify right side
    3,435.09x = 6,973,390.86
  5. Step 5: Solve for x
    x = 6,973,390.86/3,435.09
  6. Step 6: Final answer
    x = 2,030.05

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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.