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Finding the Fourth Proportional to 3,385.50, 5,078.25 and 1,334.94

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Solution

The fourth proportional to 3,385.50, 5,078.25 and 1,334.94 is: 2,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.50 : 5,078.25 = 1,334.94 : x
  2. Step 2: Convert to fraction form
    3,385.50/5,078.25 = 1,334.94/x
  3. Step 3: Cross multiply
    3,385.50x = 5,078.25 × 1,334.94
  4. Step 4: Simplify right side
    3,385.50x = 6,779,159.06
  5. Step 5: Solve for x
    x = 6,779,159.06/3,385.50
  6. Step 6: Final answer
    x = 2,002.41

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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.