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Finding the Fourth Proportional to 4,041.62, 6,063.27 and 1,409.19

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Solution

The fourth proportional to 4,041.62, 6,063.27 and 1,409.19 is: 2,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,041.62 : 6,063.27 = 1,409.19 : x
  2. Step 2: Convert to fraction form
    4,041.62/6,063.27 = 1,409.19/x
  3. Step 3: Cross multiply
    4,041.62x = 6,063.27 × 1,409.19
  4. Step 4: Simplify right side
    4,041.62x = 8,544,299.45
  5. Step 5: Solve for x
    x = 8,544,299.45/4,041.62
  6. Step 6: Final answer
    x = 2,114.08

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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.