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Finding the Fourth Proportional to 3,435.33, 5,149.47 and 1,354.50

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Solution

The fourth proportional to 3,435.33, 5,149.47 and 1,354.50 is: 2,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.33 : 5,149.47 = 1,354.50 : x
  2. Step 2: Convert to fraction form
    3,435.33/5,149.47 = 1,354.50/x
  3. Step 3: Cross multiply
    3,435.33x = 5,149.47 × 1,354.50
  4. Step 4: Simplify right side
    3,435.33x = 6,974,957.12
  5. Step 5: Solve for x
    x = 6,974,957.12/3,435.33
  6. Step 6: Final answer
    x = 2,030.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.