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Finding the Fourth Proportional to 3,378.50, 5,065.50 and 1,403.62

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Solution

The fourth proportional to 3,378.50, 5,065.50 and 1,403.62 is: 2,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.50 : 5,065.50 = 1,403.62 : x
  2. Step 2: Convert to fraction form
    3,378.50/5,065.50 = 1,403.62/x
  3. Step 3: Cross multiply
    3,378.50x = 5,065.50 × 1,403.62
  4. Step 4: Simplify right side
    3,378.50x = 7,110,037.11
  5. Step 5: Solve for x
    x = 7,110,037.11/3,378.50
  6. Step 6: Final answer
    x = 2,104.50

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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.