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Finding the Fourth Proportional to 4,409.08, 6,084.60 and 2,419.82

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Solution

The fourth proportional to 4,409.08, 6,084.60 and 2,419.82 is: 3,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.08 : 6,084.60 = 2,419.82 : x
  2. Step 2: Convert to fraction form
    4,409.08/6,084.60 = 2,419.82/x
  3. Step 3: Cross multiply
    4,409.08x = 6,084.60 × 2,419.82
  4. Step 4: Simplify right side
    4,409.08x = 14,723,649.65
  5. Step 5: Solve for x
    x = 14,723,649.65/4,409.08
  6. Step 6: Final answer
    x = 3,339.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.