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Finding the Fourth Proportional to 3,435.69, 5,150.07 and 1,354.55

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Solution

The fourth proportional to 3,435.69, 5,150.07 and 1,354.55 is: 2,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.69 : 5,150.07 = 1,354.55 : x
  2. Step 2: Convert to fraction form
    3,435.69/5,150.07 = 1,354.55/x
  3. Step 3: Cross multiply
    3,435.69x = 5,150.07 × 1,354.55
  4. Step 4: Simplify right side
    3,435.69x = 6,976,002.93
  5. Step 5: Solve for x
    x = 6,976,002.93/3,435.69
  6. Step 6: Final answer
    x = 2,030.45

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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.